/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


KILLED
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 481 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (8) typed CpxTrs
    (9) OrderProof [LOWER BOUND(ID), 12 ms]
    (10) typed CpxTrs
(11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 3 ms]
(12) TRS for Loop Detection
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (18) CpxWeightedTrs
    (19) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxTypedWeightedTrs
    (21) CompletionProof [UPPER BOUND(ID), 7 ms]
    (22) CpxTypedWeightedCompleteTrs
        (23) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 30 ms]
        (24) CpxRNTS
    (25) CompletionProof [UPPER BOUND(ID), 10 ms]
    (26) CpxTypedWeightedCompleteTrs
(27) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
(28) CdtProblem
    (29) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 1 ms]
    (30) CdtProblem
    (31) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (32) CdtProblem
    (33) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 7 ms]
    (34) CdtProblem
    (35) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (36) CdtProblem
    (37) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 62 ms]
    (38) CdtProblem
    (39) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 34 ms]
    (40) CdtProblem
    (41) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (42) CdtProblem
    (43) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (44) CdtProblem
    (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 9 ms]
    (46) CdtProblem
    (47) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (48) CdtProblem
    (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 62 ms]
    (50) CdtProblem
    (51) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 11 ms]
    (52) CdtProblem
    (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 36 ms]
    (54) CdtProblem
    (55) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (56) CdtProblem
    (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 34 ms]
    (58) CdtProblem
    (59) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (60) CdtProblem
    (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2 ms]
    (62) CdtProblem
    (63) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 1 ms]
    (64) CdtProblem
    (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 36 ms]
    (66) CdtProblem
    (67) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (68) CdtProblem
    (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 45 ms]
    (70) CdtProblem
    (71) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (72) CdtProblem
    (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 97 ms]
    (74) CdtProblem
    (75) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (76) CdtProblem
    (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 135 ms]
    (78) CdtProblem
    (79) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 24 ms]
    (80) CdtProblem
    (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 42 ms]
    (82) CdtProblem
    (83) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 13 ms]
    (84) CdtProblem
    (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 675 ms]
    (86) CdtProblem
    (87) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 148 ms]
    (88) CdtProblem
    (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 283 ms]
    (90) CdtProblem
    (91) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 83 ms]
    (92) CdtProblem
    (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 71 ms]
    (94) CdtProblem
    (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (96) CdtProblem
    (97) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (98) CdtProblem
    (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 54 ms]
    (100) CdtProblem
    (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 88 ms]
    (102) CdtProblem
    (103) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 25 ms]
    (104) CdtProblem
    (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 148 ms]
    (106) CdtProblem
    (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 101 ms]
    (108) CdtProblem
    (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 93 ms]
    (110) CdtProblem
    (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 100 ms]
    (112) CdtProblem
    (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 39 ms]
    (114) CdtProblem
    (115) CdtLeafRemovalProof [ComplexityIfPolyImplication, 38 ms]
    (116) CdtProblem
    (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 44 ms]
    (118) CdtProblem
    (119) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 50 ms]
    (120) CdtProblem
    (121) CdtLeafRemovalProof [ComplexityIfPolyImplication, 2 ms]
    (122) CdtProblem
    (123) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 49 ms]
    (124) CdtProblem
    (125) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 30 ms]
    (126) CdtProblem
    (127) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 46 ms]
    (128) CdtProblem
    (129) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 19 ms]
    (130) CdtProblem
    (131) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 28 ms]
    (132) CdtProblem
    (133) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 12 ms]
    (134) CdtProblem
    (135) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 32 ms]
    (136) CdtProblem
    (137) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 49 ms]
    (138) CdtProblem
    (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 48 ms]
    (140) CdtProblem
    (141) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 22 ms]
    (142) CdtProblem
    (143) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 65 ms]
    (144) CdtProblem


----------------------------------------

(0)
Obligation:
The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(and(tt, T)) -> mark(T)
   active(isNatIList(IL)) -> mark(isNatList(IL))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(N))) -> mark(isNat(N))
   active(isNat(length(L))) -> mark(isNatList(L))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(N, L))) -> mark(and(isNat(N), isNatList(L)))
   active(isNatList(take(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, IL)) -> mark(uTake1(isNatIList(IL)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(M), cons(N, IL))) -> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL))
   active(uTake2(tt, M, N, IL)) -> mark(cons(N, take(M, IL)))
   active(length(cons(N, L))) -> mark(uLength(and(isNat(N), isNatList(L)), L))
   active(uLength(tt, L)) -> mark(s(length(L)))
   mark(and(X1, X2)) -> active(and(mark(X1), mark(X2)))
   mark(tt) -> active(tt)
   mark(isNatIList(X)) -> active(isNatIList(X))
   mark(isNatList(X)) -> active(isNatList(X))
   mark(isNat(X)) -> active(isNat(X))
   mark(0) -> active(0)
   mark(s(X)) -> active(s(mark(X)))
   mark(length(X)) -> active(length(mark(X)))
   mark(zeros) -> active(zeros)
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(nil) -> active(nil)
   mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   mark(uTake1(X)) -> active(uTake1(mark(X)))
   mark(uTake2(X1, X2, X3, X4)) -> active(uTake2(mark(X1), X2, X3, X4))
   mark(uLength(X1, X2)) -> active(uLength(mark(X1), X2))
   and(mark(X1), X2) -> and(X1, X2)
   and(X1, mark(X2)) -> and(X1, X2)
   and(active(X1), X2) -> and(X1, X2)
   and(X1, active(X2)) -> and(X1, X2)
   isNatIList(mark(X)) -> isNatIList(X)
   isNatIList(active(X)) -> isNatIList(X)
   isNatList(mark(X)) -> isNatList(X)
   isNatList(active(X)) -> isNatList(X)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   length(mark(X)) -> length(X)
   length(active(X)) -> length(X)
   cons(mark(X1), X2) -> cons(X1, X2)
   cons(X1, mark(X2)) -> cons(X1, X2)
   cons(active(X1), X2) -> cons(X1, X2)
   cons(X1, active(X2)) -> cons(X1, X2)
   take(mark(X1), X2) -> take(X1, X2)
   take(X1, mark(X2)) -> take(X1, X2)
   take(active(X1), X2) -> take(X1, X2)
   take(X1, active(X2)) -> take(X1, X2)
   uTake1(mark(X)) -> uTake1(X)
   uTake1(active(X)) -> uTake1(X)
   uTake2(mark(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, mark(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, mark(X3), X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, X3, mark(X4)) -> uTake2(X1, X2, X3, X4)
   uTake2(active(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, active(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, active(X3), X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, X3, active(X4)) -> uTake2(X1, X2, X3, X4)
   uLength(mark(X1), X2) -> uLength(X1, X2)
   uLength(X1, mark(X2)) -> uLength(X1, X2)
   uLength(active(X1), X2) -> uLength(X1, X2)
   uLength(X1, active(X2)) -> uLength(X1, X2)

S is empty.
Rewrite Strategy: INNERMOST
----------------------------------------

(1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID))
The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem:

   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_uTake1(x_1)) -> uTake1(encArg(x_1))
   encArg(cons_uTake2(x_1, x_2, x_3, x_4)) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_uLength(x_1, x_2)) -> uLength(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_0 -> 0
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_zeros -> zeros
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_nil -> nil
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_uTake1(x_1) -> uTake1(encArg(x_1))
   encode_uTake2(x_1, x_2, x_3, x_4) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_uLength(x_1, x_2) -> uLength(encArg(x_1), encArg(x_2))


----------------------------------------

(2)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(and(tt, T)) -> mark(T)
   active(isNatIList(IL)) -> mark(isNatList(IL))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(N))) -> mark(isNat(N))
   active(isNat(length(L))) -> mark(isNatList(L))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(N, L))) -> mark(and(isNat(N), isNatList(L)))
   active(isNatList(take(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, IL)) -> mark(uTake1(isNatIList(IL)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(M), cons(N, IL))) -> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL))
   active(uTake2(tt, M, N, IL)) -> mark(cons(N, take(M, IL)))
   active(length(cons(N, L))) -> mark(uLength(and(isNat(N), isNatList(L)), L))
   active(uLength(tt, L)) -> mark(s(length(L)))
   mark(and(X1, X2)) -> active(and(mark(X1), mark(X2)))
   mark(tt) -> active(tt)
   mark(isNatIList(X)) -> active(isNatIList(X))
   mark(isNatList(X)) -> active(isNatList(X))
   mark(isNat(X)) -> active(isNat(X))
   mark(0) -> active(0)
   mark(s(X)) -> active(s(mark(X)))
   mark(length(X)) -> active(length(mark(X)))
   mark(zeros) -> active(zeros)
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(nil) -> active(nil)
   mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   mark(uTake1(X)) -> active(uTake1(mark(X)))
   mark(uTake2(X1, X2, X3, X4)) -> active(uTake2(mark(X1), X2, X3, X4))
   mark(uLength(X1, X2)) -> active(uLength(mark(X1), X2))
   and(mark(X1), X2) -> and(X1, X2)
   and(X1, mark(X2)) -> and(X1, X2)
   and(active(X1), X2) -> and(X1, X2)
   and(X1, active(X2)) -> and(X1, X2)
   isNatIList(mark(X)) -> isNatIList(X)
   isNatIList(active(X)) -> isNatIList(X)
   isNatList(mark(X)) -> isNatList(X)
   isNatList(active(X)) -> isNatList(X)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   length(mark(X)) -> length(X)
   length(active(X)) -> length(X)
   cons(mark(X1), X2) -> cons(X1, X2)
   cons(X1, mark(X2)) -> cons(X1, X2)
   cons(active(X1), X2) -> cons(X1, X2)
   cons(X1, active(X2)) -> cons(X1, X2)
   take(mark(X1), X2) -> take(X1, X2)
   take(X1, mark(X2)) -> take(X1, X2)
   take(active(X1), X2) -> take(X1, X2)
   take(X1, active(X2)) -> take(X1, X2)
   uTake1(mark(X)) -> uTake1(X)
   uTake1(active(X)) -> uTake1(X)
   uTake2(mark(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, mark(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, mark(X3), X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, X3, mark(X4)) -> uTake2(X1, X2, X3, X4)
   uTake2(active(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, active(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, active(X3), X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, X3, active(X4)) -> uTake2(X1, X2, X3, X4)
   uLength(mark(X1), X2) -> uLength(X1, X2)
   uLength(X1, mark(X2)) -> uLength(X1, X2)
   uLength(active(X1), X2) -> uLength(X1, X2)
   uLength(X1, active(X2)) -> uLength(X1, X2)

The (relative) TRS S consists of the following rules:

   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_uTake1(x_1)) -> uTake1(encArg(x_1))
   encArg(cons_uTake2(x_1, x_2, x_3, x_4)) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_uLength(x_1, x_2)) -> uLength(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_0 -> 0
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_zeros -> zeros
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_nil -> nil
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_uTake1(x_1) -> uTake1(encArg(x_1))
   encode_uTake2(x_1, x_2, x_3, x_4) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_uLength(x_1, x_2) -> uLength(encArg(x_1), encArg(x_2))

Rewrite Strategy: INNERMOST
----------------------------------------

(3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID))
proved innermost termination of relative rules
----------------------------------------

(4)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(and(tt, T)) -> mark(T)
   active(isNatIList(IL)) -> mark(isNatList(IL))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(N))) -> mark(isNat(N))
   active(isNat(length(L))) -> mark(isNatList(L))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(N, L))) -> mark(and(isNat(N), isNatList(L)))
   active(isNatList(take(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, IL)) -> mark(uTake1(isNatIList(IL)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(M), cons(N, IL))) -> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL))
   active(uTake2(tt, M, N, IL)) -> mark(cons(N, take(M, IL)))
   active(length(cons(N, L))) -> mark(uLength(and(isNat(N), isNatList(L)), L))
   active(uLength(tt, L)) -> mark(s(length(L)))
   mark(and(X1, X2)) -> active(and(mark(X1), mark(X2)))
   mark(tt) -> active(tt)
   mark(isNatIList(X)) -> active(isNatIList(X))
   mark(isNatList(X)) -> active(isNatList(X))
   mark(isNat(X)) -> active(isNat(X))
   mark(0) -> active(0)
   mark(s(X)) -> active(s(mark(X)))
   mark(length(X)) -> active(length(mark(X)))
   mark(zeros) -> active(zeros)
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(nil) -> active(nil)
   mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   mark(uTake1(X)) -> active(uTake1(mark(X)))
   mark(uTake2(X1, X2, X3, X4)) -> active(uTake2(mark(X1), X2, X3, X4))
   mark(uLength(X1, X2)) -> active(uLength(mark(X1), X2))
   and(mark(X1), X2) -> and(X1, X2)
   and(X1, mark(X2)) -> and(X1, X2)
   and(active(X1), X2) -> and(X1, X2)
   and(X1, active(X2)) -> and(X1, X2)
   isNatIList(mark(X)) -> isNatIList(X)
   isNatIList(active(X)) -> isNatIList(X)
   isNatList(mark(X)) -> isNatList(X)
   isNatList(active(X)) -> isNatList(X)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   length(mark(X)) -> length(X)
   length(active(X)) -> length(X)
   cons(mark(X1), X2) -> cons(X1, X2)
   cons(X1, mark(X2)) -> cons(X1, X2)
   cons(active(X1), X2) -> cons(X1, X2)
   cons(X1, active(X2)) -> cons(X1, X2)
   take(mark(X1), X2) -> take(X1, X2)
   take(X1, mark(X2)) -> take(X1, X2)
   take(active(X1), X2) -> take(X1, X2)
   take(X1, active(X2)) -> take(X1, X2)
   uTake1(mark(X)) -> uTake1(X)
   uTake1(active(X)) -> uTake1(X)
   uTake2(mark(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, mark(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, mark(X3), X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, X3, mark(X4)) -> uTake2(X1, X2, X3, X4)
   uTake2(active(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, active(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, active(X3), X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, X3, active(X4)) -> uTake2(X1, X2, X3, X4)
   uLength(mark(X1), X2) -> uLength(X1, X2)
   uLength(X1, mark(X2)) -> uLength(X1, X2)
   uLength(active(X1), X2) -> uLength(X1, X2)
   uLength(X1, active(X2)) -> uLength(X1, X2)

The (relative) TRS S consists of the following rules:

   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_uTake1(x_1)) -> uTake1(encArg(x_1))
   encArg(cons_uTake2(x_1, x_2, x_3, x_4)) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_uLength(x_1, x_2)) -> uLength(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_0 -> 0
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_zeros -> zeros
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_nil -> nil
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_uTake1(x_1) -> uTake1(encArg(x_1))
   encode_uTake2(x_1, x_2, x_3, x_4) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_uLength(x_1, x_2) -> uLength(encArg(x_1), encArg(x_2))

Rewrite Strategy: INNERMOST
----------------------------------------

(5) RenamingProof (BOTH BOUNDS(ID, ID))
Renamed function symbols to avoid clashes with predefined symbol.
----------------------------------------

(6)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(and(tt, T)) -> mark(T)
   active(isNatIList(IL)) -> mark(isNatList(IL))
   active(isNat(0')) -> mark(tt)
   active(isNat(s(N))) -> mark(isNat(N))
   active(isNat(length(L))) -> mark(isNatList(L))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(N, L))) -> mark(and(isNat(N), isNatList(L)))
   active(isNatList(take(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   active(zeros) -> mark(cons(0', zeros))
   active(take(0', IL)) -> mark(uTake1(isNatIList(IL)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(M), cons(N, IL))) -> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL))
   active(uTake2(tt, M, N, IL)) -> mark(cons(N, take(M, IL)))
   active(length(cons(N, L))) -> mark(uLength(and(isNat(N), isNatList(L)), L))
   active(uLength(tt, L)) -> mark(s(length(L)))
   mark(and(X1, X2)) -> active(and(mark(X1), mark(X2)))
   mark(tt) -> active(tt)
   mark(isNatIList(X)) -> active(isNatIList(X))
   mark(isNatList(X)) -> active(isNatList(X))
   mark(isNat(X)) -> active(isNat(X))
   mark(0') -> active(0')
   mark(s(X)) -> active(s(mark(X)))
   mark(length(X)) -> active(length(mark(X)))
   mark(zeros) -> active(zeros)
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(nil) -> active(nil)
   mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   mark(uTake1(X)) -> active(uTake1(mark(X)))
   mark(uTake2(X1, X2, X3, X4)) -> active(uTake2(mark(X1), X2, X3, X4))
   mark(uLength(X1, X2)) -> active(uLength(mark(X1), X2))
   and(mark(X1), X2) -> and(X1, X2)
   and(X1, mark(X2)) -> and(X1, X2)
   and(active(X1), X2) -> and(X1, X2)
   and(X1, active(X2)) -> and(X1, X2)
   isNatIList(mark(X)) -> isNatIList(X)
   isNatIList(active(X)) -> isNatIList(X)
   isNatList(mark(X)) -> isNatList(X)
   isNatList(active(X)) -> isNatList(X)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   length(mark(X)) -> length(X)
   length(active(X)) -> length(X)
   cons(mark(X1), X2) -> cons(X1, X2)
   cons(X1, mark(X2)) -> cons(X1, X2)
   cons(active(X1), X2) -> cons(X1, X2)
   cons(X1, active(X2)) -> cons(X1, X2)
   take(mark(X1), X2) -> take(X1, X2)
   take(X1, mark(X2)) -> take(X1, X2)
   take(active(X1), X2) -> take(X1, X2)
   take(X1, active(X2)) -> take(X1, X2)
   uTake1(mark(X)) -> uTake1(X)
   uTake1(active(X)) -> uTake1(X)
   uTake2(mark(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, mark(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, mark(X3), X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, X3, mark(X4)) -> uTake2(X1, X2, X3, X4)
   uTake2(active(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, active(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, active(X3), X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, X3, active(X4)) -> uTake2(X1, X2, X3, X4)
   uLength(mark(X1), X2) -> uLength(X1, X2)
   uLength(X1, mark(X2)) -> uLength(X1, X2)
   uLength(active(X1), X2) -> uLength(X1, X2)
   uLength(X1, active(X2)) -> uLength(X1, X2)

The (relative) TRS S consists of the following rules:

   encArg(tt) -> tt
   encArg(0') -> 0'
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_uTake1(x_1)) -> uTake1(encArg(x_1))
   encArg(cons_uTake2(x_1, x_2, x_3, x_4)) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_uLength(x_1, x_2)) -> uLength(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_0 -> 0'
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_zeros -> zeros
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_nil -> nil
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_uTake1(x_1) -> uTake1(encArg(x_1))
   encode_uTake2(x_1, x_2, x_3, x_4) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_uLength(x_1, x_2) -> uLength(encArg(x_1), encArg(x_2))

Rewrite Strategy: INNERMOST
----------------------------------------

(7) TypeInferenceProof (BOTH BOUNDS(ID, ID))
Infered types.
----------------------------------------

(8)
Obligation:
Innermost TRS:
Rules:
active(and(tt, T)) -> mark(T)
active(isNatIList(IL)) -> mark(isNatList(IL))
active(isNat(0')) -> mark(tt)
active(isNat(s(N))) -> mark(isNat(N))
active(isNat(length(L))) -> mark(isNatList(L))
active(isNatIList(zeros)) -> mark(tt)
active(isNatIList(cons(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
active(isNatList(nil)) -> mark(tt)
active(isNatList(cons(N, L))) -> mark(and(isNat(N), isNatList(L)))
active(isNatList(take(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
active(zeros) -> mark(cons(0', zeros))
active(take(0', IL)) -> mark(uTake1(isNatIList(IL)))
active(uTake1(tt)) -> mark(nil)
active(take(s(M), cons(N, IL))) -> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL))
active(uTake2(tt, M, N, IL)) -> mark(cons(N, take(M, IL)))
active(length(cons(N, L))) -> mark(uLength(and(isNat(N), isNatList(L)), L))
active(uLength(tt, L)) -> mark(s(length(L)))
mark(and(X1, X2)) -> active(and(mark(X1), mark(X2)))
mark(tt) -> active(tt)
mark(isNatIList(X)) -> active(isNatIList(X))
mark(isNatList(X)) -> active(isNatList(X))
mark(isNat(X)) -> active(isNat(X))
mark(0') -> active(0')
mark(s(X)) -> active(s(mark(X)))
mark(length(X)) -> active(length(mark(X)))
mark(zeros) -> active(zeros)
mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
mark(nil) -> active(nil)
mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
mark(uTake1(X)) -> active(uTake1(mark(X)))
mark(uTake2(X1, X2, X3, X4)) -> active(uTake2(mark(X1), X2, X3, X4))
mark(uLength(X1, X2)) -> active(uLength(mark(X1), X2))
and(mark(X1), X2) -> and(X1, X2)
and(X1, mark(X2)) -> and(X1, X2)
and(active(X1), X2) -> and(X1, X2)
and(X1, active(X2)) -> and(X1, X2)
isNatIList(mark(X)) -> isNatIList(X)
isNatIList(active(X)) -> isNatIList(X)
isNatList(mark(X)) -> isNatList(X)
isNatList(active(X)) -> isNatList(X)
isNat(mark(X)) -> isNat(X)
isNat(active(X)) -> isNat(X)
s(mark(X)) -> s(X)
s(active(X)) -> s(X)
length(mark(X)) -> length(X)
length(active(X)) -> length(X)
cons(mark(X1), X2) -> cons(X1, X2)
cons(X1, mark(X2)) -> cons(X1, X2)
cons(active(X1), X2) -> cons(X1, X2)
cons(X1, active(X2)) -> cons(X1, X2)
take(mark(X1), X2) -> take(X1, X2)
take(X1, mark(X2)) -> take(X1, X2)
take(active(X1), X2) -> take(X1, X2)
take(X1, active(X2)) -> take(X1, X2)
uTake1(mark(X)) -> uTake1(X)
uTake1(active(X)) -> uTake1(X)
uTake2(mark(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
uTake2(X1, mark(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
uTake2(X1, X2, mark(X3), X4) -> uTake2(X1, X2, X3, X4)
uTake2(X1, X2, X3, mark(X4)) -> uTake2(X1, X2, X3, X4)
uTake2(active(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
uTake2(X1, active(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
uTake2(X1, X2, active(X3), X4) -> uTake2(X1, X2, X3, X4)
uTake2(X1, X2, X3, active(X4)) -> uTake2(X1, X2, X3, X4)
uLength(mark(X1), X2) -> uLength(X1, X2)
uLength(X1, mark(X2)) -> uLength(X1, X2)
uLength(active(X1), X2) -> uLength(X1, X2)
uLength(X1, active(X2)) -> uLength(X1, X2)
encArg(tt) -> tt
encArg(0') -> 0'
encArg(zeros) -> zeros
encArg(nil) -> nil
encArg(cons_active(x_1)) -> active(encArg(x_1))
encArg(cons_mark(x_1)) -> mark(encArg(x_1))
encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
encArg(cons_s(x_1)) -> s(encArg(x_1))
encArg(cons_length(x_1)) -> length(encArg(x_1))
encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
encArg(cons_uTake1(x_1)) -> uTake1(encArg(x_1))
encArg(cons_uTake2(x_1, x_2, x_3, x_4)) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
encArg(cons_uLength(x_1, x_2)) -> uLength(encArg(x_1), encArg(x_2))
encode_active(x_1) -> active(encArg(x_1))
encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
encode_tt -> tt
encode_mark(x_1) -> mark(encArg(x_1))
encode_isNatIList(x_1) -> isNatIList(encArg(x_1))
encode_isNatList(x_1) -> isNatList(encArg(x_1))
encode_isNat(x_1) -> isNat(encArg(x_1))
encode_0 -> 0'
encode_s(x_1) -> s(encArg(x_1))
encode_length(x_1) -> length(encArg(x_1))
encode_zeros -> zeros
encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
encode_nil -> nil
encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
encode_uTake1(x_1) -> uTake1(encArg(x_1))
encode_uTake2(x_1, x_2, x_3, x_4) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
encode_uLength(x_1, x_2) -> uLength(encArg(x_1), encArg(x_2))

Types:
active :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
and :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
tt :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
mark :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
isNatIList :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
isNatList :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
isNat :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
0' :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
s :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
length :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
zeros :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
nil :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
take :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
uTake1 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
uTake2 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
uLength :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encArg :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_active :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_mark :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_and :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_isNatIList :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_isNatList :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_isNat :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_s :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_length :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_cons :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_take :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_uTake1 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_uTake2 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_uLength :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_active :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_and :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_tt :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_mark :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_isNatIList :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_isNatList :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_isNat :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_0 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_s :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_length :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_zeros :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_cons :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_nil :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_take :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_uTake1 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_uTake2 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_uLength :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
hole_tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength1_5 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
gen_tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength2_5 :: Nat -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength

----------------------------------------

(9) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
active, mark, isNatList, isNat, and, isNatIList, cons, uTake1, uTake2, take, uLength, s, length, encArg

They will be analysed ascendingly in the following order:
active = mark
isNatList < active
isNat < active
and < active
isNatIList < active
cons < active
uTake1 < active
uTake2 < active
take < active
uLength < active
s < active
length < active
active < encArg
isNatList < mark
isNat < mark
and < mark
isNatIList < mark
cons < mark
uTake1 < mark
uTake2 < mark
take < mark
uLength < mark
s < mark
length < mark
mark < encArg
isNatList < encArg
isNat < encArg
and < encArg
isNatIList < encArg
cons < encArg
uTake1 < encArg
uTake2 < encArg
take < encArg
uLength < encArg
s < encArg
length < encArg

----------------------------------------

(10)
Obligation:
Innermost TRS:
Rules:
active(and(tt, T)) -> mark(T)
active(isNatIList(IL)) -> mark(isNatList(IL))
active(isNat(0')) -> mark(tt)
active(isNat(s(N))) -> mark(isNat(N))
active(isNat(length(L))) -> mark(isNatList(L))
active(isNatIList(zeros)) -> mark(tt)
active(isNatIList(cons(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
active(isNatList(nil)) -> mark(tt)
active(isNatList(cons(N, L))) -> mark(and(isNat(N), isNatList(L)))
active(isNatList(take(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
active(zeros) -> mark(cons(0', zeros))
active(take(0', IL)) -> mark(uTake1(isNatIList(IL)))
active(uTake1(tt)) -> mark(nil)
active(take(s(M), cons(N, IL))) -> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL))
active(uTake2(tt, M, N, IL)) -> mark(cons(N, take(M, IL)))
active(length(cons(N, L))) -> mark(uLength(and(isNat(N), isNatList(L)), L))
active(uLength(tt, L)) -> mark(s(length(L)))
mark(and(X1, X2)) -> active(and(mark(X1), mark(X2)))
mark(tt) -> active(tt)
mark(isNatIList(X)) -> active(isNatIList(X))
mark(isNatList(X)) -> active(isNatList(X))
mark(isNat(X)) -> active(isNat(X))
mark(0') -> active(0')
mark(s(X)) -> active(s(mark(X)))
mark(length(X)) -> active(length(mark(X)))
mark(zeros) -> active(zeros)
mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
mark(nil) -> active(nil)
mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
mark(uTake1(X)) -> active(uTake1(mark(X)))
mark(uTake2(X1, X2, X3, X4)) -> active(uTake2(mark(X1), X2, X3, X4))
mark(uLength(X1, X2)) -> active(uLength(mark(X1), X2))
and(mark(X1), X2) -> and(X1, X2)
and(X1, mark(X2)) -> and(X1, X2)
and(active(X1), X2) -> and(X1, X2)
and(X1, active(X2)) -> and(X1, X2)
isNatIList(mark(X)) -> isNatIList(X)
isNatIList(active(X)) -> isNatIList(X)
isNatList(mark(X)) -> isNatList(X)
isNatList(active(X)) -> isNatList(X)
isNat(mark(X)) -> isNat(X)
isNat(active(X)) -> isNat(X)
s(mark(X)) -> s(X)
s(active(X)) -> s(X)
length(mark(X)) -> length(X)
length(active(X)) -> length(X)
cons(mark(X1), X2) -> cons(X1, X2)
cons(X1, mark(X2)) -> cons(X1, X2)
cons(active(X1), X2) -> cons(X1, X2)
cons(X1, active(X2)) -> cons(X1, X2)
take(mark(X1), X2) -> take(X1, X2)
take(X1, mark(X2)) -> take(X1, X2)
take(active(X1), X2) -> take(X1, X2)
take(X1, active(X2)) -> take(X1, X2)
uTake1(mark(X)) -> uTake1(X)
uTake1(active(X)) -> uTake1(X)
uTake2(mark(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
uTake2(X1, mark(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
uTake2(X1, X2, mark(X3), X4) -> uTake2(X1, X2, X3, X4)
uTake2(X1, X2, X3, mark(X4)) -> uTake2(X1, X2, X3, X4)
uTake2(active(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
uTake2(X1, active(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
uTake2(X1, X2, active(X3), X4) -> uTake2(X1, X2, X3, X4)
uTake2(X1, X2, X3, active(X4)) -> uTake2(X1, X2, X3, X4)
uLength(mark(X1), X2) -> uLength(X1, X2)
uLength(X1, mark(X2)) -> uLength(X1, X2)
uLength(active(X1), X2) -> uLength(X1, X2)
uLength(X1, active(X2)) -> uLength(X1, X2)
encArg(tt) -> tt
encArg(0') -> 0'
encArg(zeros) -> zeros
encArg(nil) -> nil
encArg(cons_active(x_1)) -> active(encArg(x_1))
encArg(cons_mark(x_1)) -> mark(encArg(x_1))
encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
encArg(cons_s(x_1)) -> s(encArg(x_1))
encArg(cons_length(x_1)) -> length(encArg(x_1))
encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
encArg(cons_uTake1(x_1)) -> uTake1(encArg(x_1))
encArg(cons_uTake2(x_1, x_2, x_3, x_4)) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
encArg(cons_uLength(x_1, x_2)) -> uLength(encArg(x_1), encArg(x_2))
encode_active(x_1) -> active(encArg(x_1))
encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
encode_tt -> tt
encode_mark(x_1) -> mark(encArg(x_1))
encode_isNatIList(x_1) -> isNatIList(encArg(x_1))
encode_isNatList(x_1) -> isNatList(encArg(x_1))
encode_isNat(x_1) -> isNat(encArg(x_1))
encode_0 -> 0'
encode_s(x_1) -> s(encArg(x_1))
encode_length(x_1) -> length(encArg(x_1))
encode_zeros -> zeros
encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
encode_nil -> nil
encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
encode_uTake1(x_1) -> uTake1(encArg(x_1))
encode_uTake2(x_1, x_2, x_3, x_4) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
encode_uLength(x_1, x_2) -> uLength(encArg(x_1), encArg(x_2))

Types:
active :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
and :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
tt :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
mark :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
isNatIList :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
isNatList :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
isNat :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
0' :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
s :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
length :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
zeros :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
nil :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
take :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
uTake1 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
uTake2 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
uLength :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encArg :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_active :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_mark :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_and :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_isNatIList :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_isNatList :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_isNat :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_s :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_length :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_cons :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_take :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_uTake1 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_uTake2 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_uLength :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_active :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_and :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_tt :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_mark :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_isNatIList :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_isNatList :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_isNat :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_0 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_s :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_length :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_zeros :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_cons :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_nil :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_take :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_uTake1 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_uTake2 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_uLength :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
hole_tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength1_5 :: tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
gen_tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength2_5 :: Nat -> tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength


Generator Equations:
gen_tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength2_5(0) <=> tt
gen_tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength2_5(+(x, 1)) <=> cons_active(gen_tt:0':zeros:nil:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength2_5(x))


The following defined symbols remain to be analysed:
isNatList, active, mark, isNat, and, isNatIList, cons, uTake1, uTake2, take, uLength, s, length, encArg

They will be analysed ascendingly in the following order:
active = mark
isNatList < active
isNat < active
and < active
isNatIList < active
cons < active
uTake1 < active
uTake2 < active
take < active
uLength < active
s < active
length < active
active < encArg
isNatList < mark
isNat < mark
and < mark
isNatIList < mark
cons < mark
uTake1 < mark
uTake2 < mark
take < mark
uLength < mark
s < mark
length < mark
mark < encArg
isNatList < encArg
isNat < encArg
and < encArg
isNatIList < encArg
cons < encArg
uTake1 < encArg
uTake2 < encArg
take < encArg
uLength < encArg
s < encArg
length < encArg

----------------------------------------

(11) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID))
Transformed a relative TRS into a decreasing-loop problem.
----------------------------------------

(12)
Obligation:
Analyzing the following TRS for decreasing loops:

The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(and(tt, T)) -> mark(T)
   active(isNatIList(IL)) -> mark(isNatList(IL))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(N))) -> mark(isNat(N))
   active(isNat(length(L))) -> mark(isNatList(L))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(N, L))) -> mark(and(isNat(N), isNatList(L)))
   active(isNatList(take(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, IL)) -> mark(uTake1(isNatIList(IL)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(M), cons(N, IL))) -> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL))
   active(uTake2(tt, M, N, IL)) -> mark(cons(N, take(M, IL)))
   active(length(cons(N, L))) -> mark(uLength(and(isNat(N), isNatList(L)), L))
   active(uLength(tt, L)) -> mark(s(length(L)))
   mark(and(X1, X2)) -> active(and(mark(X1), mark(X2)))
   mark(tt) -> active(tt)
   mark(isNatIList(X)) -> active(isNatIList(X))
   mark(isNatList(X)) -> active(isNatList(X))
   mark(isNat(X)) -> active(isNat(X))
   mark(0) -> active(0)
   mark(s(X)) -> active(s(mark(X)))
   mark(length(X)) -> active(length(mark(X)))
   mark(zeros) -> active(zeros)
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(nil) -> active(nil)
   mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   mark(uTake1(X)) -> active(uTake1(mark(X)))
   mark(uTake2(X1, X2, X3, X4)) -> active(uTake2(mark(X1), X2, X3, X4))
   mark(uLength(X1, X2)) -> active(uLength(mark(X1), X2))
   and(mark(X1), X2) -> and(X1, X2)
   and(X1, mark(X2)) -> and(X1, X2)
   and(active(X1), X2) -> and(X1, X2)
   and(X1, active(X2)) -> and(X1, X2)
   isNatIList(mark(X)) -> isNatIList(X)
   isNatIList(active(X)) -> isNatIList(X)
   isNatList(mark(X)) -> isNatList(X)
   isNatList(active(X)) -> isNatList(X)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   length(mark(X)) -> length(X)
   length(active(X)) -> length(X)
   cons(mark(X1), X2) -> cons(X1, X2)
   cons(X1, mark(X2)) -> cons(X1, X2)
   cons(active(X1), X2) -> cons(X1, X2)
   cons(X1, active(X2)) -> cons(X1, X2)
   take(mark(X1), X2) -> take(X1, X2)
   take(X1, mark(X2)) -> take(X1, X2)
   take(active(X1), X2) -> take(X1, X2)
   take(X1, active(X2)) -> take(X1, X2)
   uTake1(mark(X)) -> uTake1(X)
   uTake1(active(X)) -> uTake1(X)
   uTake2(mark(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, mark(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, mark(X3), X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, X3, mark(X4)) -> uTake2(X1, X2, X3, X4)
   uTake2(active(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, active(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, active(X3), X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, X3, active(X4)) -> uTake2(X1, X2, X3, X4)
   uLength(mark(X1), X2) -> uLength(X1, X2)
   uLength(X1, mark(X2)) -> uLength(X1, X2)
   uLength(active(X1), X2) -> uLength(X1, X2)
   uLength(X1, active(X2)) -> uLength(X1, X2)

The (relative) TRS S consists of the following rules:

   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_uTake1(x_1)) -> uTake1(encArg(x_1))
   encArg(cons_uTake2(x_1, x_2, x_3, x_4)) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_uLength(x_1, x_2)) -> uLength(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_0 -> 0
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_zeros -> zeros
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_nil -> nil
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_uTake1(x_1) -> uTake1(encArg(x_1))
   encode_uTake2(x_1, x_2, x_3, x_4) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_uLength(x_1, x_2) -> uLength(encArg(x_1), encArg(x_2))

Rewrite Strategy: INNERMOST
----------------------------------------

(13) RelTrsToTrsProof (UPPER BOUND(ID))
transformed relative TRS to TRS
----------------------------------------

(14)
Obligation:
The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(and(tt, T)) -> mark(T)
   active(isNatIList(IL)) -> mark(isNatList(IL))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(N))) -> mark(isNat(N))
   active(isNat(length(L))) -> mark(isNatList(L))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(N, L))) -> mark(and(isNat(N), isNatList(L)))
   active(isNatList(take(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, IL)) -> mark(uTake1(isNatIList(IL)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(M), cons(N, IL))) -> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL))
   active(uTake2(tt, M, N, IL)) -> mark(cons(N, take(M, IL)))
   active(length(cons(N, L))) -> mark(uLength(and(isNat(N), isNatList(L)), L))
   active(uLength(tt, L)) -> mark(s(length(L)))
   mark(and(X1, X2)) -> active(and(mark(X1), mark(X2)))
   mark(tt) -> active(tt)
   mark(isNatIList(X)) -> active(isNatIList(X))
   mark(isNatList(X)) -> active(isNatList(X))
   mark(isNat(X)) -> active(isNat(X))
   mark(0) -> active(0)
   mark(s(X)) -> active(s(mark(X)))
   mark(length(X)) -> active(length(mark(X)))
   mark(zeros) -> active(zeros)
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(nil) -> active(nil)
   mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   mark(uTake1(X)) -> active(uTake1(mark(X)))
   mark(uTake2(X1, X2, X3, X4)) -> active(uTake2(mark(X1), X2, X3, X4))
   mark(uLength(X1, X2)) -> active(uLength(mark(X1), X2))
   and(mark(X1), X2) -> and(X1, X2)
   and(X1, mark(X2)) -> and(X1, X2)
   and(active(X1), X2) -> and(X1, X2)
   and(X1, active(X2)) -> and(X1, X2)
   isNatIList(mark(X)) -> isNatIList(X)
   isNatIList(active(X)) -> isNatIList(X)
   isNatList(mark(X)) -> isNatList(X)
   isNatList(active(X)) -> isNatList(X)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   length(mark(X)) -> length(X)
   length(active(X)) -> length(X)
   cons(mark(X1), X2) -> cons(X1, X2)
   cons(X1, mark(X2)) -> cons(X1, X2)
   cons(active(X1), X2) -> cons(X1, X2)
   cons(X1, active(X2)) -> cons(X1, X2)
   take(mark(X1), X2) -> take(X1, X2)
   take(X1, mark(X2)) -> take(X1, X2)
   take(active(X1), X2) -> take(X1, X2)
   take(X1, active(X2)) -> take(X1, X2)
   uTake1(mark(X)) -> uTake1(X)
   uTake1(active(X)) -> uTake1(X)
   uTake2(mark(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, mark(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, mark(X3), X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, X3, mark(X4)) -> uTake2(X1, X2, X3, X4)
   uTake2(active(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, active(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, active(X3), X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, X3, active(X4)) -> uTake2(X1, X2, X3, X4)
   uLength(mark(X1), X2) -> uLength(X1, X2)
   uLength(X1, mark(X2)) -> uLength(X1, X2)
   uLength(active(X1), X2) -> uLength(X1, X2)
   uLength(X1, active(X2)) -> uLength(X1, X2)
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_uTake1(x_1)) -> uTake1(encArg(x_1))
   encArg(cons_uTake2(x_1, x_2, x_3, x_4)) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_uLength(x_1, x_2)) -> uLength(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_0 -> 0
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_zeros -> zeros
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_nil -> nil
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_uTake1(x_1) -> uTake1(encArg(x_1))
   encode_uTake2(x_1, x_2, x_3, x_4) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_uLength(x_1, x_2) -> uLength(encArg(x_1), encArg(x_2))

S is empty.
Rewrite Strategy: INNERMOST
----------------------------------------

(15) NonCtorToCtorProof (UPPER BOUND(ID))
transformed non-ctor to ctor-system
----------------------------------------

(16)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(zeros) -> mark(cons(0, zeros))
   mark(tt) -> active(tt)
   mark(0) -> active(0)
   mark(zeros) -> active(zeros)
   mark(nil) -> active(nil)
   isNat(c_active(X)) -> isNat(X)
   uTake2(X1, c_active(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   cons(c_mark(X1), X2) -> cons(X1, X2)
   length(c_mark(X)) -> length(X)
   uTake2(X1, X2, X3, c_mark(X4)) -> uTake2(X1, X2, X3, X4)
   take(c_mark(X1), X2) -> take(X1, X2)
   mark(c_isNatList(X)) -> active(isNatList(X))
   uTake2(c_active(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   mark(c_uTake2(X1, X2, X3, X4)) -> active(uTake2(mark(X1), X2, X3, X4))
   take(c_active(X1), X2) -> take(X1, X2)
   uTake1(c_mark(X)) -> uTake1(X)
   active(c_uTake2(tt, M, N, IL)) -> mark(cons(N, take(M, IL)))
   active(c_isNatIList(c_cons(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   active(c_isNatList(c_take(N, IL))) -> mark(and(isNat(N), isNatIList(IL)))
   uTake1(c_active(X)) -> uTake1(X)
   active(c_uTake1(tt)) -> mark(nil)
   active(c_isNatList(c_cons(N, L))) -> mark(and(isNat(N), isNatList(L)))
   isNat(c_mark(X)) -> isNat(X)
   mark(c_uTake1(X)) -> active(uTake1(mark(X)))
   active(c_isNat(0)) -> mark(tt)
   active(c_uLength(tt, L)) -> mark(s(length(L)))
   mark(c_isNatIList(X)) -> active(isNatIList(X))
   mark(c_uLength(X1, X2)) -> active(uLength(mark(X1), X2))
   take(X1, c_active(X2)) -> take(X1, X2)
   uLength(X1, c_mark(X2)) -> uLength(X1, X2)
   active(c_isNatIList(IL)) -> mark(isNatList(IL))
   isNatIList(c_active(X)) -> isNatIList(X)
   uTake2(X1, X2, X3, c_active(X4)) -> uTake2(X1, X2, X3, X4)
   active(c_take(c_s(M), c_cons(N, IL))) -> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL))
   mark(c_s(X)) -> active(s(mark(X)))
   s(c_active(X)) -> s(X)
   and(c_active(X1), X2) -> and(X1, X2)
   cons(X1, c_active(X2)) -> cons(X1, X2)
   uLength(c_active(X1), X2) -> uLength(X1, X2)
   active(c_isNat(c_s(N))) -> mark(isNat(N))
   mark(c_take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   cons(X1, c_mark(X2)) -> cons(X1, X2)
   uLength(c_mark(X1), X2) -> uLength(X1, X2)
   isNatIList(c_mark(X)) -> isNatIList(X)
   uTake2(c_mark(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4)
   mark(c_length(X)) -> active(length(mark(X)))
   active(c_isNat(c_length(L))) -> mark(isNatList(L))
   take(X1, c_mark(X2)) -> take(X1, X2)
   active(c_isNatIList(zeros)) -> mark(tt)
   s(c_mark(X)) -> s(X)
   mark(c_and(X1, X2)) -> active(and(mark(X1), mark(X2)))
   uTake2(X1, c_mark(X2), X3, X4) -> uTake2(X1, X2, X3, X4)
   uLength(X1, c_active(X2)) -> uLength(X1, X2)
   active(c_take(0, IL)) -> mark(uTake1(isNatIList(IL)))
   active(c_and(tt, T)) -> mark(T)
   isNatList(c_mark(X)) -> isNatList(X)
   length(c_active(X)) -> length(X)
   active(c_isNatList(nil)) -> mark(tt)
   isNatList(c_active(X)) -> isNatList(X)
   cons(c_active(X1), X2) -> cons(X1, X2)
   mark(c_isNat(X)) -> active(isNat(X))
   mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2))
   and(X1, c_mark(X2)) -> and(X1, X2)
   and(c_mark(X1), X2) -> and(X1, X2)
   active(c_length(c_cons(N, L))) -> mark(uLength(and(isNat(N), isNatList(L)), L))
   uTake2(X1, X2, c_mark(X3), X4) -> uTake2(X1, X2, X3, X4)
   uTake2(X1, X2, c_active(X3), X4) -> uTake2(X1, X2, X3, X4)
   and(X1, c_active(X2)) -> and(X1, X2)

The (relative) TRS S consists of the following rules:

   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_uTake1(x_1)) -> uTake1(encArg(x_1))
   encArg(cons_uTake2(x_1, x_2, x_3, x_4)) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_uLength(x_1, x_2)) -> uLength(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_0 -> 0
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_zeros -> zeros
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_nil -> nil
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_uTake1(x_1) -> uTake1(encArg(x_1))
   encode_uTake2(x_1, x_2, x_3, x_4) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_uLength(x_1, x_2) -> uLength(encArg(x_1), encArg(x_2))
   isNatIList(x0) -> c_isNatIList(x0)
   isNat(x0) -> c_isNat(x0)
   uTake1(x0) -> c_uTake1(x0)
   and(x0, x1) -> c_and(x0, x1)
   uLength(x0, x1) -> c_uLength(x0, x1)
   s(x0) -> c_s(x0)
   active(x0) -> c_active(x0)
   uTake2(x0, x1, x2, x3) -> c_uTake2(x0, x1, x2, x3)
   length(x0) -> c_length(x0)
   take(x0, x1) -> c_take(x0, x1)
   cons(x0, x1) -> c_cons(x0, x1)
   isNatList(x0) -> c_isNatList(x0)
   mark(x0) -> c_mark(x0)

Rewrite Strategy: INNERMOST
----------------------------------------

(17) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID))
Transformed relative TRS to weighted TRS
----------------------------------------

(18)
Obligation:
The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(zeros) -> mark(cons(0, zeros)) [1]
   mark(tt) -> active(tt) [1]
   mark(0) -> active(0) [1]
   mark(zeros) -> active(zeros) [1]
   mark(nil) -> active(nil) [1]
   isNat(c_active(X)) -> isNat(X) [1]
   uTake2(X1, c_active(X2), X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   cons(c_mark(X1), X2) -> cons(X1, X2) [1]
   length(c_mark(X)) -> length(X) [1]
   uTake2(X1, X2, X3, c_mark(X4)) -> uTake2(X1, X2, X3, X4) [1]
   take(c_mark(X1), X2) -> take(X1, X2) [1]
   mark(c_isNatList(X)) -> active(isNatList(X)) [1]
   uTake2(c_active(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   mark(c_uTake2(X1, X2, X3, X4)) -> active(uTake2(mark(X1), X2, X3, X4)) [1]
   take(c_active(X1), X2) -> take(X1, X2) [1]
   uTake1(c_mark(X)) -> uTake1(X) [1]
   active(c_uTake2(tt, M, N, IL)) -> mark(cons(N, take(M, IL))) [1]
   active(c_isNatIList(c_cons(N, IL))) -> mark(and(isNat(N), isNatIList(IL))) [1]
   active(c_isNatList(c_take(N, IL))) -> mark(and(isNat(N), isNatIList(IL))) [1]
   uTake1(c_active(X)) -> uTake1(X) [1]
   active(c_uTake1(tt)) -> mark(nil) [1]
   active(c_isNatList(c_cons(N, L))) -> mark(and(isNat(N), isNatList(L))) [1]
   isNat(c_mark(X)) -> isNat(X) [1]
   mark(c_uTake1(X)) -> active(uTake1(mark(X))) [1]
   active(c_isNat(0)) -> mark(tt) [1]
   active(c_uLength(tt, L)) -> mark(s(length(L))) [1]
   mark(c_isNatIList(X)) -> active(isNatIList(X)) [1]
   mark(c_uLength(X1, X2)) -> active(uLength(mark(X1), X2)) [1]
   take(X1, c_active(X2)) -> take(X1, X2) [1]
   uLength(X1, c_mark(X2)) -> uLength(X1, X2) [1]
   active(c_isNatIList(IL)) -> mark(isNatList(IL)) [1]
   isNatIList(c_active(X)) -> isNatIList(X) [1]
   uTake2(X1, X2, X3, c_active(X4)) -> uTake2(X1, X2, X3, X4) [1]
   active(c_take(c_s(M), c_cons(N, IL))) -> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL)) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   s(c_active(X)) -> s(X) [1]
   and(c_active(X1), X2) -> and(X1, X2) [1]
   cons(X1, c_active(X2)) -> cons(X1, X2) [1]
   uLength(c_active(X1), X2) -> uLength(X1, X2) [1]
   active(c_isNat(c_s(N))) -> mark(isNat(N)) [1]
   mark(c_take(X1, X2)) -> active(take(mark(X1), mark(X2))) [1]
   cons(X1, c_mark(X2)) -> cons(X1, X2) [1]
   uLength(c_mark(X1), X2) -> uLength(X1, X2) [1]
   isNatIList(c_mark(X)) -> isNatIList(X) [1]
   uTake2(c_mark(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   mark(c_length(X)) -> active(length(mark(X))) [1]
   active(c_isNat(c_length(L))) -> mark(isNatList(L)) [1]
   take(X1, c_mark(X2)) -> take(X1, X2) [1]
   active(c_isNatIList(zeros)) -> mark(tt) [1]
   s(c_mark(X)) -> s(X) [1]
   mark(c_and(X1, X2)) -> active(and(mark(X1), mark(X2))) [1]
   uTake2(X1, c_mark(X2), X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   uLength(X1, c_active(X2)) -> uLength(X1, X2) [1]
   active(c_take(0, IL)) -> mark(uTake1(isNatIList(IL))) [1]
   active(c_and(tt, T)) -> mark(T) [1]
   isNatList(c_mark(X)) -> isNatList(X) [1]
   length(c_active(X)) -> length(X) [1]
   active(c_isNatList(nil)) -> mark(tt) [1]
   isNatList(c_active(X)) -> isNatList(X) [1]
   cons(c_active(X1), X2) -> cons(X1, X2) [1]
   mark(c_isNat(X)) -> active(isNat(X)) [1]
   mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2)) [1]
   and(X1, c_mark(X2)) -> and(X1, X2) [1]
   and(c_mark(X1), X2) -> and(X1, X2) [1]
   active(c_length(c_cons(N, L))) -> mark(uLength(and(isNat(N), isNatList(L)), L)) [1]
   uTake2(X1, X2, c_mark(X3), X4) -> uTake2(X1, X2, X3, X4) [1]
   uTake2(X1, X2, c_active(X3), X4) -> uTake2(X1, X2, X3, X4) [1]
   and(X1, c_active(X2)) -> and(X1, X2) [1]
   encArg(tt) -> tt [0]
   encArg(0) -> 0 [0]
   encArg(zeros) -> zeros [0]
   encArg(nil) -> nil [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1)) [0]
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1)) [0]
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_length(x_1)) -> length(encArg(x_1)) [0]
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_uTake1(x_1)) -> uTake1(encArg(x_1)) [0]
   encArg(cons_uTake2(x_1, x_2, x_3, x_4)) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encArg(cons_uLength(x_1, x_2)) -> uLength(encArg(x_1), encArg(x_2)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [0]
   encode_tt -> tt [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1)) [0]
   encode_isNatList(x_1) -> isNatList(encArg(x_1)) [0]
   encode_isNat(x_1) -> isNat(encArg(x_1)) [0]
   encode_0 -> 0 [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_length(x_1) -> length(encArg(x_1)) [0]
   encode_zeros -> zeros [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_nil -> nil [0]
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2)) [0]
   encode_uTake1(x_1) -> uTake1(encArg(x_1)) [0]
   encode_uTake2(x_1, x_2, x_3, x_4) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encode_uLength(x_1, x_2) -> uLength(encArg(x_1), encArg(x_2)) [0]
   isNatIList(x0) -> c_isNatIList(x0) [0]
   isNat(x0) -> c_isNat(x0) [0]
   uTake1(x0) -> c_uTake1(x0) [0]
   and(x0, x1) -> c_and(x0, x1) [0]
   uLength(x0, x1) -> c_uLength(x0, x1) [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [0]
   uTake2(x0, x1, x2, x3) -> c_uTake2(x0, x1, x2, x3) [0]
   length(x0) -> c_length(x0) [0]
   take(x0, x1) -> c_take(x0, x1) [0]
   cons(x0, x1) -> c_cons(x0, x1) [0]
   isNatList(x0) -> c_isNatList(x0) [0]
   mark(x0) -> c_mark(x0) [0]

Rewrite Strategy: INNERMOST
----------------------------------------

(19) TypeInferenceProof (BOTH BOUNDS(ID, ID))
Infered types.
----------------------------------------

(20)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   active(zeros) -> mark(cons(0, zeros)) [1]
   mark(tt) -> active(tt) [1]
   mark(0) -> active(0) [1]
   mark(zeros) -> active(zeros) [1]
   mark(nil) -> active(nil) [1]
   isNat(c_active(X)) -> isNat(X) [1]
   uTake2(X1, c_active(X2), X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   cons(c_mark(X1), X2) -> cons(X1, X2) [1]
   length(c_mark(X)) -> length(X) [1]
   uTake2(X1, X2, X3, c_mark(X4)) -> uTake2(X1, X2, X3, X4) [1]
   take(c_mark(X1), X2) -> take(X1, X2) [1]
   mark(c_isNatList(X)) -> active(isNatList(X)) [1]
   uTake2(c_active(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   mark(c_uTake2(X1, X2, X3, X4)) -> active(uTake2(mark(X1), X2, X3, X4)) [1]
   take(c_active(X1), X2) -> take(X1, X2) [1]
   uTake1(c_mark(X)) -> uTake1(X) [1]
   active(c_uTake2(tt, M, N, IL)) -> mark(cons(N, take(M, IL))) [1]
   active(c_isNatIList(c_cons(N, IL))) -> mark(and(isNat(N), isNatIList(IL))) [1]
   active(c_isNatList(c_take(N, IL))) -> mark(and(isNat(N), isNatIList(IL))) [1]
   uTake1(c_active(X)) -> uTake1(X) [1]
   active(c_uTake1(tt)) -> mark(nil) [1]
   active(c_isNatList(c_cons(N, L))) -> mark(and(isNat(N), isNatList(L))) [1]
   isNat(c_mark(X)) -> isNat(X) [1]
   mark(c_uTake1(X)) -> active(uTake1(mark(X))) [1]
   active(c_isNat(0)) -> mark(tt) [1]
   active(c_uLength(tt, L)) -> mark(s(length(L))) [1]
   mark(c_isNatIList(X)) -> active(isNatIList(X)) [1]
   mark(c_uLength(X1, X2)) -> active(uLength(mark(X1), X2)) [1]
   take(X1, c_active(X2)) -> take(X1, X2) [1]
   uLength(X1, c_mark(X2)) -> uLength(X1, X2) [1]
   active(c_isNatIList(IL)) -> mark(isNatList(IL)) [1]
   isNatIList(c_active(X)) -> isNatIList(X) [1]
   uTake2(X1, X2, X3, c_active(X4)) -> uTake2(X1, X2, X3, X4) [1]
   active(c_take(c_s(M), c_cons(N, IL))) -> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL)) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   s(c_active(X)) -> s(X) [1]
   and(c_active(X1), X2) -> and(X1, X2) [1]
   cons(X1, c_active(X2)) -> cons(X1, X2) [1]
   uLength(c_active(X1), X2) -> uLength(X1, X2) [1]
   active(c_isNat(c_s(N))) -> mark(isNat(N)) [1]
   mark(c_take(X1, X2)) -> active(take(mark(X1), mark(X2))) [1]
   cons(X1, c_mark(X2)) -> cons(X1, X2) [1]
   uLength(c_mark(X1), X2) -> uLength(X1, X2) [1]
   isNatIList(c_mark(X)) -> isNatIList(X) [1]
   uTake2(c_mark(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   mark(c_length(X)) -> active(length(mark(X))) [1]
   active(c_isNat(c_length(L))) -> mark(isNatList(L)) [1]
   take(X1, c_mark(X2)) -> take(X1, X2) [1]
   active(c_isNatIList(zeros)) -> mark(tt) [1]
   s(c_mark(X)) -> s(X) [1]
   mark(c_and(X1, X2)) -> active(and(mark(X1), mark(X2))) [1]
   uTake2(X1, c_mark(X2), X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   uLength(X1, c_active(X2)) -> uLength(X1, X2) [1]
   active(c_take(0, IL)) -> mark(uTake1(isNatIList(IL))) [1]
   active(c_and(tt, T)) -> mark(T) [1]
   isNatList(c_mark(X)) -> isNatList(X) [1]
   length(c_active(X)) -> length(X) [1]
   active(c_isNatList(nil)) -> mark(tt) [1]
   isNatList(c_active(X)) -> isNatList(X) [1]
   cons(c_active(X1), X2) -> cons(X1, X2) [1]
   mark(c_isNat(X)) -> active(isNat(X)) [1]
   mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2)) [1]
   and(X1, c_mark(X2)) -> and(X1, X2) [1]
   and(c_mark(X1), X2) -> and(X1, X2) [1]
   active(c_length(c_cons(N, L))) -> mark(uLength(and(isNat(N), isNatList(L)), L)) [1]
   uTake2(X1, X2, c_mark(X3), X4) -> uTake2(X1, X2, X3, X4) [1]
   uTake2(X1, X2, c_active(X3), X4) -> uTake2(X1, X2, X3, X4) [1]
   and(X1, c_active(X2)) -> and(X1, X2) [1]
   encArg(tt) -> tt [0]
   encArg(0) -> 0 [0]
   encArg(zeros) -> zeros [0]
   encArg(nil) -> nil [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1)) [0]
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1)) [0]
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_length(x_1)) -> length(encArg(x_1)) [0]
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_uTake1(x_1)) -> uTake1(encArg(x_1)) [0]
   encArg(cons_uTake2(x_1, x_2, x_3, x_4)) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encArg(cons_uLength(x_1, x_2)) -> uLength(encArg(x_1), encArg(x_2)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [0]
   encode_tt -> tt [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1)) [0]
   encode_isNatList(x_1) -> isNatList(encArg(x_1)) [0]
   encode_isNat(x_1) -> isNat(encArg(x_1)) [0]
   encode_0 -> 0 [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_length(x_1) -> length(encArg(x_1)) [0]
   encode_zeros -> zeros [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_nil -> nil [0]
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2)) [0]
   encode_uTake1(x_1) -> uTake1(encArg(x_1)) [0]
   encode_uTake2(x_1, x_2, x_3, x_4) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encode_uLength(x_1, x_2) -> uLength(encArg(x_1), encArg(x_2)) [0]
   isNatIList(x0) -> c_isNatIList(x0) [0]
   isNat(x0) -> c_isNat(x0) [0]
   uTake1(x0) -> c_uTake1(x0) [0]
   and(x0, x1) -> c_and(x0, x1) [0]
   uLength(x0, x1) -> c_uLength(x0, x1) [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [0]
   uTake2(x0, x1, x2, x3) -> c_uTake2(x0, x1, x2, x3) [0]
   length(x0) -> c_length(x0) [0]
   take(x0, x1) -> c_take(x0, x1) [0]
   cons(x0, x1) -> c_cons(x0, x1) [0]
   isNatList(x0) -> c_isNatList(x0) [0]
   mark(x0) -> c_mark(x0) [0]

The TRS has the following type information:
active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
zeros :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
0 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
tt :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
nil :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
c_active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
c_mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
c_isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
c_uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
c_isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
c_cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
c_take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
c_uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
c_isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
c_uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
c_s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
c_length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
c_and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encArg :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
cons_uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_tt :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_0 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_zeros :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_nil :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength
encode_uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength

Rewrite Strategy: INNERMOST
----------------------------------------

(21) CompletionProof (UPPER BOUND(ID))
The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added:

   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_and(v0, v1) -> null_encode_and [0]
   encode_tt -> null_encode_tt [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_isNatIList(v0) -> null_encode_isNatIList [0]
   encode_isNatList(v0) -> null_encode_isNatList [0]
   encode_isNat(v0) -> null_encode_isNat [0]
   encode_0 -> null_encode_0 [0]
   encode_s(v0) -> null_encode_s [0]
   encode_length(v0) -> null_encode_length [0]
   encode_zeros -> null_encode_zeros [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_nil -> null_encode_nil [0]
   encode_take(v0, v1) -> null_encode_take [0]
   encode_uTake1(v0) -> null_encode_uTake1 [0]
   encode_uTake2(v0, v1, v2, v3) -> null_encode_uTake2 [0]
   encode_uLength(v0, v1) -> null_encode_uLength [0]
   isNatIList(v0) -> null_isNatIList [0]
   isNat(v0) -> null_isNat [0]
   uTake1(v0) -> null_uTake1 [0]
   and(v0, v1) -> null_and [0]
   uLength(v0, v1) -> null_uLength [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [0]
   uTake2(v0, v1, v2, v3) -> null_uTake2 [0]
   length(v0) -> null_length [0]
   take(v0, v1) -> null_take [0]
   cons(v0, v1) -> null_cons [0]
   isNatList(v0) -> null_isNatList [0]
   mark(v0) -> null_mark [0]

And the following fresh constants:    null_encArg, null_encode_active, null_encode_and, null_encode_tt, null_encode_mark, null_encode_isNatIList, null_encode_isNatList, null_encode_isNat, null_encode_0, null_encode_s, null_encode_length, null_encode_zeros, null_encode_cons, null_encode_nil, null_encode_take, null_encode_uTake1, null_encode_uTake2, null_encode_uLength, null_isNatIList, null_isNat, null_uTake1, null_and, null_uLength, null_s, null_active, null_uTake2, null_length, null_take, null_cons, null_isNatList, null_mark

----------------------------------------

(22)
Obligation:
Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   active(zeros) -> mark(cons(0, zeros)) [1]
   mark(tt) -> active(tt) [1]
   mark(0) -> active(0) [1]
   mark(zeros) -> active(zeros) [1]
   mark(nil) -> active(nil) [1]
   isNat(c_active(X)) -> isNat(X) [1]
   uTake2(X1, c_active(X2), X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   cons(c_mark(X1), X2) -> cons(X1, X2) [1]
   length(c_mark(X)) -> length(X) [1]
   uTake2(X1, X2, X3, c_mark(X4)) -> uTake2(X1, X2, X3, X4) [1]
   take(c_mark(X1), X2) -> take(X1, X2) [1]
   mark(c_isNatList(X)) -> active(isNatList(X)) [1]
   uTake2(c_active(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   mark(c_uTake2(X1, X2, X3, X4)) -> active(uTake2(mark(X1), X2, X3, X4)) [1]
   take(c_active(X1), X2) -> take(X1, X2) [1]
   uTake1(c_mark(X)) -> uTake1(X) [1]
   active(c_uTake2(tt, M, N, IL)) -> mark(cons(N, take(M, IL))) [1]
   active(c_isNatIList(c_cons(N, IL))) -> mark(and(isNat(N), isNatIList(IL))) [1]
   active(c_isNatList(c_take(N, IL))) -> mark(and(isNat(N), isNatIList(IL))) [1]
   uTake1(c_active(X)) -> uTake1(X) [1]
   active(c_uTake1(tt)) -> mark(nil) [1]
   active(c_isNatList(c_cons(N, L))) -> mark(and(isNat(N), isNatList(L))) [1]
   isNat(c_mark(X)) -> isNat(X) [1]
   mark(c_uTake1(X)) -> active(uTake1(mark(X))) [1]
   active(c_isNat(0)) -> mark(tt) [1]
   active(c_uLength(tt, L)) -> mark(s(length(L))) [1]
   mark(c_isNatIList(X)) -> active(isNatIList(X)) [1]
   mark(c_uLength(X1, X2)) -> active(uLength(mark(X1), X2)) [1]
   take(X1, c_active(X2)) -> take(X1, X2) [1]
   uLength(X1, c_mark(X2)) -> uLength(X1, X2) [1]
   active(c_isNatIList(IL)) -> mark(isNatList(IL)) [1]
   isNatIList(c_active(X)) -> isNatIList(X) [1]
   uTake2(X1, X2, X3, c_active(X4)) -> uTake2(X1, X2, X3, X4) [1]
   active(c_take(c_s(M), c_cons(N, IL))) -> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL)) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   s(c_active(X)) -> s(X) [1]
   and(c_active(X1), X2) -> and(X1, X2) [1]
   cons(X1, c_active(X2)) -> cons(X1, X2) [1]
   uLength(c_active(X1), X2) -> uLength(X1, X2) [1]
   active(c_isNat(c_s(N))) -> mark(isNat(N)) [1]
   mark(c_take(X1, X2)) -> active(take(mark(X1), mark(X2))) [1]
   cons(X1, c_mark(X2)) -> cons(X1, X2) [1]
   uLength(c_mark(X1), X2) -> uLength(X1, X2) [1]
   isNatIList(c_mark(X)) -> isNatIList(X) [1]
   uTake2(c_mark(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   mark(c_length(X)) -> active(length(mark(X))) [1]
   active(c_isNat(c_length(L))) -> mark(isNatList(L)) [1]
   take(X1, c_mark(X2)) -> take(X1, X2) [1]
   active(c_isNatIList(zeros)) -> mark(tt) [1]
   s(c_mark(X)) -> s(X) [1]
   mark(c_and(X1, X2)) -> active(and(mark(X1), mark(X2))) [1]
   uTake2(X1, c_mark(X2), X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   uLength(X1, c_active(X2)) -> uLength(X1, X2) [1]
   active(c_take(0, IL)) -> mark(uTake1(isNatIList(IL))) [1]
   active(c_and(tt, T)) -> mark(T) [1]
   isNatList(c_mark(X)) -> isNatList(X) [1]
   length(c_active(X)) -> length(X) [1]
   active(c_isNatList(nil)) -> mark(tt) [1]
   isNatList(c_active(X)) -> isNatList(X) [1]
   cons(c_active(X1), X2) -> cons(X1, X2) [1]
   mark(c_isNat(X)) -> active(isNat(X)) [1]
   mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2)) [1]
   and(X1, c_mark(X2)) -> and(X1, X2) [1]
   and(c_mark(X1), X2) -> and(X1, X2) [1]
   active(c_length(c_cons(N, L))) -> mark(uLength(and(isNat(N), isNatList(L)), L)) [1]
   uTake2(X1, X2, c_mark(X3), X4) -> uTake2(X1, X2, X3, X4) [1]
   uTake2(X1, X2, c_active(X3), X4) -> uTake2(X1, X2, X3, X4) [1]
   and(X1, c_active(X2)) -> and(X1, X2) [1]
   encArg(tt) -> tt [0]
   encArg(0) -> 0 [0]
   encArg(zeros) -> zeros [0]
   encArg(nil) -> nil [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1)) [0]
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1)) [0]
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_length(x_1)) -> length(encArg(x_1)) [0]
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_uTake1(x_1)) -> uTake1(encArg(x_1)) [0]
   encArg(cons_uTake2(x_1, x_2, x_3, x_4)) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encArg(cons_uLength(x_1, x_2)) -> uLength(encArg(x_1), encArg(x_2)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [0]
   encode_tt -> tt [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1)) [0]
   encode_isNatList(x_1) -> isNatList(encArg(x_1)) [0]
   encode_isNat(x_1) -> isNat(encArg(x_1)) [0]
   encode_0 -> 0 [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_length(x_1) -> length(encArg(x_1)) [0]
   encode_zeros -> zeros [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_nil -> nil [0]
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2)) [0]
   encode_uTake1(x_1) -> uTake1(encArg(x_1)) [0]
   encode_uTake2(x_1, x_2, x_3, x_4) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encode_uLength(x_1, x_2) -> uLength(encArg(x_1), encArg(x_2)) [0]
   isNatIList(x0) -> c_isNatIList(x0) [0]
   isNat(x0) -> c_isNat(x0) [0]
   uTake1(x0) -> c_uTake1(x0) [0]
   and(x0, x1) -> c_and(x0, x1) [0]
   uLength(x0, x1) -> c_uLength(x0, x1) [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [0]
   uTake2(x0, x1, x2, x3) -> c_uTake2(x0, x1, x2, x3) [0]
   length(x0) -> c_length(x0) [0]
   take(x0, x1) -> c_take(x0, x1) [0]
   cons(x0, x1) -> c_cons(x0, x1) [0]
   isNatList(x0) -> c_isNatList(x0) [0]
   mark(x0) -> c_mark(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_and(v0, v1) -> null_encode_and [0]
   encode_tt -> null_encode_tt [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_isNatIList(v0) -> null_encode_isNatIList [0]
   encode_isNatList(v0) -> null_encode_isNatList [0]
   encode_isNat(v0) -> null_encode_isNat [0]
   encode_0 -> null_encode_0 [0]
   encode_s(v0) -> null_encode_s [0]
   encode_length(v0) -> null_encode_length [0]
   encode_zeros -> null_encode_zeros [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_nil -> null_encode_nil [0]
   encode_take(v0, v1) -> null_encode_take [0]
   encode_uTake1(v0) -> null_encode_uTake1 [0]
   encode_uTake2(v0, v1, v2, v3) -> null_encode_uTake2 [0]
   encode_uLength(v0, v1) -> null_encode_uLength [0]
   isNatIList(v0) -> null_isNatIList [0]
   isNat(v0) -> null_isNat [0]
   uTake1(v0) -> null_uTake1 [0]
   and(v0, v1) -> null_and [0]
   uLength(v0, v1) -> null_uLength [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [0]
   uTake2(v0, v1, v2, v3) -> null_uTake2 [0]
   length(v0) -> null_length [0]
   take(v0, v1) -> null_take [0]
   cons(v0, v1) -> null_cons [0]
   isNatList(v0) -> null_isNatList [0]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
zeros :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
0 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
tt :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
nil :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encArg :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_tt :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_0 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_zeros :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_nil :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encArg :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_tt :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_0 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_zeros :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_nil :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark

Rewrite Strategy: INNERMOST
----------------------------------------

(23) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID))
Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

   zeros => 3
   0 => 0
   tt => 2
   nil => 1
   null_encArg => 0
   null_encode_active => 0
   null_encode_and => 0
   null_encode_tt => 0
   null_encode_mark => 0
   null_encode_isNatIList => 0
   null_encode_isNatList => 0
   null_encode_isNat => 0
   null_encode_0 => 0
   null_encode_s => 0
   null_encode_length => 0
   null_encode_zeros => 0
   null_encode_cons => 0
   null_encode_nil => 0
   null_encode_take => 0
   null_encode_uTake1 => 0
   null_encode_uTake2 => 0
   null_encode_uLength => 0
   null_isNatIList => 0
   null_isNat => 0
   null_uTake1 => 0
   null_and => 0
   null_uLength => 0
   null_s => 0
   null_active => 0
   null_uTake2 => 0
   null_length => 0
   null_take => 0
   null_cons => 0
   null_isNatList => 0
   null_mark => 0

----------------------------------------

(24)
Obligation:
Complexity RNTS consisting of the following rules:

   active(z) -{ 1 }-> mark(T) :|: z = 1 + 2 + T, T >= 0
   active(z) -{ 1 }-> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL)) :|: z = 1 + (1 + M) + (1 + N + IL), M >= 0, IL >= 0, N >= 0
   active(z) -{ 1 }-> mark(uTake1(isNatIList(IL))) :|: z = 1 + 0 + IL, IL >= 0
   active(z) -{ 1 }-> mark(uLength(and(isNat(N), isNatList(L)), L)) :|: L >= 0, z = 1 + (1 + N + L), N >= 0
   active(z) -{ 1 }-> mark(s(length(L))) :|: z = 1 + 2 + L, L >= 0
   active(z) -{ 1 }-> mark(isNatList(IL)) :|: z = 1 + IL, IL >= 0
   active(z) -{ 1 }-> mark(isNatList(L)) :|: z = 1 + (1 + L), L >= 0
   active(z) -{ 1 }-> mark(isNat(N)) :|: z = 1 + (1 + N), N >= 0
   active(z) -{ 1 }-> mark(cons(N, take(M, IL))) :|: z = 1 + 2 + M + N + IL, M >= 0, IL >= 0, N >= 0
   active(z) -{ 1 }-> mark(cons(0, 3)) :|: z = 3
   active(z) -{ 1 }-> mark(and(isNat(N), isNatList(L))) :|: L >= 0, z = 1 + (1 + N + L), N >= 0
   active(z) -{ 1 }-> mark(and(isNat(N), isNatIList(IL))) :|: z = 1 + (1 + N + IL), IL >= 0, N >= 0
   active(z) -{ 1 }-> mark(2) :|: z = 1 + 0
   active(z) -{ 1 }-> mark(2) :|: z = 1 + 3
   active(z) -{ 1 }-> mark(2) :|: z = 1 + 1
   active(z) -{ 1 }-> mark(1) :|: z = 1 + 2
   active(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   active(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   and(z, z') -{ 1 }-> and(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2
   and(z, z') -{ 1 }-> and(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1
   and(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   and(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   cons(z, z') -{ 1 }-> cons(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2
   cons(z, z') -{ 1 }-> cons(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1
   cons(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   cons(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   encArg(z) -{ 0 }-> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) :|: x_1 >= 0, x_3 >= 0, x_2 >= 0, z = 1 + x_1 + x_2 + x_3 + x_4, x_4 >= 0
   encArg(z) -{ 0 }-> uTake1(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> uLength(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> take(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> s(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> mark(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> length(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> isNatList(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> isNatIList(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> isNat(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> cons(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> and(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> active(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 3 :|: z = 3
   encArg(z) -{ 0 }-> 2 :|: z = 2
   encArg(z) -{ 0 }-> 1 :|: z = 1
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0 -{ 0 }-> 0 :|: 
   encode_active(z) -{ 0 }-> active(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_active(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_and(z, z') -{ 0 }-> and(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_and(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_cons(z, z') -{ 0 }-> cons(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_cons(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_isNat(z) -{ 0 }-> isNat(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_isNat(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_isNatIList(z) -{ 0 }-> isNatIList(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_isNatIList(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_isNatList(z) -{ 0 }-> isNatList(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_isNatList(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_length(z) -{ 0 }-> length(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_length(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_mark(z) -{ 0 }-> mark(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_nil -{ 0 }-> 1 :|: 
   encode_nil -{ 0 }-> 0 :|: 
   encode_s(z) -{ 0 }-> s(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_take(z, z') -{ 0 }-> take(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_take(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_tt -{ 0 }-> 2 :|: 
   encode_tt -{ 0 }-> 0 :|: 
   encode_uLength(z, z') -{ 0 }-> uLength(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_uLength(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_uTake1(z) -{ 0 }-> uTake1(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_uTake1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_uTake2(z, z', z'', z1) -{ 0 }-> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) :|: x_1 >= 0, z1 = x_4, x_3 >= 0, x_2 >= 0, z = x_1, z' = x_2, z'' = x_3, x_4 >= 0
   encode_uTake2(z, z', z'', z1) -{ 0 }-> 0 :|: z1 = v3, v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0, v3 >= 0
   encode_zeros -{ 0 }-> 3 :|: 
   encode_zeros -{ 0 }-> 0 :|: 
   isNat(z) -{ 1 }-> isNat(X) :|: z = 1 + X, X >= 0
   isNat(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   isNat(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   isNatIList(z) -{ 1 }-> isNatIList(X) :|: z = 1 + X, X >= 0
   isNatIList(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   isNatIList(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   isNatList(z) -{ 1 }-> isNatList(X) :|: z = 1 + X, X >= 0
   isNatList(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   isNatList(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   length(z) -{ 1 }-> length(X) :|: z = 1 + X, X >= 0
   length(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   length(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   mark(z) -{ 1 }-> active(uTake2(mark(X1), X2, X3, X4)) :|: X1 >= 0, z = 1 + X1 + X2 + X3 + X4, X3 >= 0, X2 >= 0, X4 >= 0
   mark(z) -{ 1 }-> active(uTake1(mark(X))) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(uLength(mark(X1), X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(take(mark(X1), mark(X2))) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(s(mark(X))) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(length(mark(X))) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(isNatList(X)) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(isNatIList(X)) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(isNat(X)) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(cons(mark(X1), X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(and(mark(X1), mark(X2))) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(3) :|: z = 3
   mark(z) -{ 1 }-> active(2) :|: z = 2
   mark(z) -{ 1 }-> active(1) :|: z = 1
   mark(z) -{ 1 }-> active(0) :|: z = 0
   mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   mark(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   s(z) -{ 1 }-> s(X) :|: z = 1 + X, X >= 0
   s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   s(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   take(z, z') -{ 1 }-> take(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2
   take(z, z') -{ 1 }-> take(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1
   take(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   take(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   uLength(z, z') -{ 1 }-> uLength(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1
   uLength(z, z') -{ 1 }-> uLength(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2
   uLength(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   uLength(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   uTake1(z) -{ 1 }-> uTake1(X) :|: z = 1 + X, X >= 0
   uTake1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   uTake1(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   uTake2(z, z', z'', z1) -{ 1 }-> uTake2(X1, X2, X3, X4) :|: X1 >= 0, z1 = X4, X3 >= 0, z' = 1 + X2, X2 >= 0, X4 >= 0, z = X1, z'' = X3
   uTake2(z, z', z'', z1) -{ 1 }-> uTake2(X1, X2, X3, X4) :|: z1 = 1 + X4, X1 >= 0, X3 >= 0, X2 >= 0, X4 >= 0, z = X1, z' = X2, z'' = X3
   uTake2(z, z', z'', z1) -{ 1 }-> uTake2(X1, X2, X3, X4) :|: X1 >= 0, z1 = X4, z = 1 + X1, X3 >= 0, X2 >= 0, X4 >= 0, z' = X2, z'' = X3
   uTake2(z, z', z'', z1) -{ 1 }-> uTake2(X1, X2, X3, X4) :|: X1 >= 0, z1 = X4, X3 >= 0, X2 >= 0, X4 >= 0, z = X1, z' = X2, z'' = 1 + X3
   uTake2(z, z', z'', z1) -{ 0 }-> 0 :|: z1 = v3, v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0, v3 >= 0
   uTake2(z, z', z'', z1) -{ 0 }-> 1 + x0 + x1 + x2 + x3 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1, z1 = x3, z'' = x2, x2 >= 0, x3 >= 0

Only complete derivations are relevant for the runtime complexity.

----------------------------------------

(25) CompletionProof (UPPER BOUND(ID))
The transformation into a RNTS is sound, since:

(a) The obligation is a constructor system where every type has a constant constructor,

(b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols:
none

(c) The following functions are completely defined:

   encArg_1
   encode_active_1
   encode_and_2
   encode_tt
   encode_mark_1
   encode_isNatIList_1
   encode_isNatList_1
   encode_isNat_1
   encode_0
   encode_s_1
   encode_length_1
   encode_zeros
   encode_cons_2
   encode_nil
   encode_take_2
   encode_uTake1_1
   encode_uTake2_4
   encode_uLength_2
   isNatIList_1
   isNat_1
   uTake1_1
   and_2
   uLength_2
   s_1
   active_1
   uTake2_4
   length_1
   take_2
   cons_2
   isNatList_1
   mark_1

Due to the following rules being added:

   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_and(v0, v1) -> null_encode_and [0]
   encode_tt -> null_encode_tt [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_isNatIList(v0) -> null_encode_isNatIList [0]
   encode_isNatList(v0) -> null_encode_isNatList [0]
   encode_isNat(v0) -> null_encode_isNat [0]
   encode_0 -> null_encode_0 [0]
   encode_s(v0) -> null_encode_s [0]
   encode_length(v0) -> null_encode_length [0]
   encode_zeros -> null_encode_zeros [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_nil -> null_encode_nil [0]
   encode_take(v0, v1) -> null_encode_take [0]
   encode_uTake1(v0) -> null_encode_uTake1 [0]
   encode_uTake2(v0, v1, v2, v3) -> null_encode_uTake2 [0]
   encode_uLength(v0, v1) -> null_encode_uLength [0]
   isNatIList(v0) -> null_isNatIList [0]
   isNat(v0) -> null_isNat [0]
   uTake1(v0) -> null_uTake1 [0]
   and(v0, v1) -> null_and [0]
   uLength(v0, v1) -> null_uLength [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [0]
   uTake2(v0, v1, v2, v3) -> null_uTake2 [0]
   length(v0) -> null_length [0]
   take(v0, v1) -> null_take [0]
   cons(v0, v1) -> null_cons [0]
   isNatList(v0) -> null_isNatList [0]
   mark(v0) -> null_mark [0]

And the following fresh constants:    null_encArg, null_encode_active, null_encode_and, null_encode_tt, null_encode_mark, null_encode_isNatIList, null_encode_isNatList, null_encode_isNat, null_encode_0, null_encode_s, null_encode_length, null_encode_zeros, null_encode_cons, null_encode_nil, null_encode_take, null_encode_uTake1, null_encode_uTake2, null_encode_uLength, null_isNatIList, null_isNat, null_uTake1, null_and, null_uLength, null_s, null_active, null_uTake2, null_length, null_take, null_cons, null_isNatList, null_mark

----------------------------------------

(26)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   active(zeros) -> mark(cons(0, zeros)) [1]
   mark(tt) -> active(tt) [1]
   mark(0) -> active(0) [1]
   mark(zeros) -> active(zeros) [1]
   mark(nil) -> active(nil) [1]
   isNat(c_active(X)) -> isNat(X) [1]
   uTake2(X1, c_active(X2), X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   cons(c_mark(X1), X2) -> cons(X1, X2) [1]
   length(c_mark(X)) -> length(X) [1]
   uTake2(X1, X2, X3, c_mark(X4)) -> uTake2(X1, X2, X3, X4) [1]
   take(c_mark(X1), X2) -> take(X1, X2) [1]
   mark(c_isNatList(X)) -> active(isNatList(X)) [1]
   uTake2(c_active(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   mark(c_uTake2(X1, X2, X3, X4)) -> active(uTake2(mark(X1), X2, X3, X4)) [1]
   take(c_active(X1), X2) -> take(X1, X2) [1]
   uTake1(c_mark(X)) -> uTake1(X) [1]
   active(c_uTake2(tt, M, N, IL)) -> mark(cons(N, take(M, IL))) [1]
   active(c_isNatIList(c_cons(N, IL))) -> mark(and(isNat(N), isNatIList(IL))) [1]
   active(c_isNatList(c_take(N, IL))) -> mark(and(isNat(N), isNatIList(IL))) [1]
   uTake1(c_active(X)) -> uTake1(X) [1]
   active(c_uTake1(tt)) -> mark(nil) [1]
   active(c_isNatList(c_cons(N, L))) -> mark(and(isNat(N), isNatList(L))) [1]
   isNat(c_mark(X)) -> isNat(X) [1]
   mark(c_uTake1(X)) -> active(uTake1(mark(X))) [1]
   active(c_isNat(0)) -> mark(tt) [1]
   active(c_uLength(tt, L)) -> mark(s(length(L))) [1]
   mark(c_isNatIList(X)) -> active(isNatIList(X)) [1]
   mark(c_uLength(X1, X2)) -> active(uLength(mark(X1), X2)) [1]
   take(X1, c_active(X2)) -> take(X1, X2) [1]
   uLength(X1, c_mark(X2)) -> uLength(X1, X2) [1]
   active(c_isNatIList(IL)) -> mark(isNatList(IL)) [1]
   isNatIList(c_active(X)) -> isNatIList(X) [1]
   uTake2(X1, X2, X3, c_active(X4)) -> uTake2(X1, X2, X3, X4) [1]
   active(c_take(c_s(M), c_cons(N, IL))) -> mark(uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL)) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   s(c_active(X)) -> s(X) [1]
   and(c_active(X1), X2) -> and(X1, X2) [1]
   cons(X1, c_active(X2)) -> cons(X1, X2) [1]
   uLength(c_active(X1), X2) -> uLength(X1, X2) [1]
   active(c_isNat(c_s(N))) -> mark(isNat(N)) [1]
   mark(c_take(X1, X2)) -> active(take(mark(X1), mark(X2))) [1]
   cons(X1, c_mark(X2)) -> cons(X1, X2) [1]
   uLength(c_mark(X1), X2) -> uLength(X1, X2) [1]
   isNatIList(c_mark(X)) -> isNatIList(X) [1]
   uTake2(c_mark(X1), X2, X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   mark(c_length(X)) -> active(length(mark(X))) [1]
   active(c_isNat(c_length(L))) -> mark(isNatList(L)) [1]
   take(X1, c_mark(X2)) -> take(X1, X2) [1]
   active(c_isNatIList(zeros)) -> mark(tt) [1]
   s(c_mark(X)) -> s(X) [1]
   mark(c_and(X1, X2)) -> active(and(mark(X1), mark(X2))) [1]
   uTake2(X1, c_mark(X2), X3, X4) -> uTake2(X1, X2, X3, X4) [1]
   uLength(X1, c_active(X2)) -> uLength(X1, X2) [1]
   active(c_take(0, IL)) -> mark(uTake1(isNatIList(IL))) [1]
   active(c_and(tt, T)) -> mark(T) [1]
   isNatList(c_mark(X)) -> isNatList(X) [1]
   length(c_active(X)) -> length(X) [1]
   active(c_isNatList(nil)) -> mark(tt) [1]
   isNatList(c_active(X)) -> isNatList(X) [1]
   cons(c_active(X1), X2) -> cons(X1, X2) [1]
   mark(c_isNat(X)) -> active(isNat(X)) [1]
   mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2)) [1]
   and(X1, c_mark(X2)) -> and(X1, X2) [1]
   and(c_mark(X1), X2) -> and(X1, X2) [1]
   active(c_length(c_cons(N, L))) -> mark(uLength(and(isNat(N), isNatList(L)), L)) [1]
   uTake2(X1, X2, c_mark(X3), X4) -> uTake2(X1, X2, X3, X4) [1]
   uTake2(X1, X2, c_active(X3), X4) -> uTake2(X1, X2, X3, X4) [1]
   and(X1, c_active(X2)) -> and(X1, X2) [1]
   encArg(tt) -> tt [0]
   encArg(0) -> 0 [0]
   encArg(zeros) -> zeros [0]
   encArg(nil) -> nil [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1)) [0]
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1)) [0]
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_length(x_1)) -> length(encArg(x_1)) [0]
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_uTake1(x_1)) -> uTake1(encArg(x_1)) [0]
   encArg(cons_uTake2(x_1, x_2, x_3, x_4)) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encArg(cons_uLength(x_1, x_2)) -> uLength(encArg(x_1), encArg(x_2)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [0]
   encode_tt -> tt [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1)) [0]
   encode_isNatList(x_1) -> isNatList(encArg(x_1)) [0]
   encode_isNat(x_1) -> isNat(encArg(x_1)) [0]
   encode_0 -> 0 [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_length(x_1) -> length(encArg(x_1)) [0]
   encode_zeros -> zeros [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_nil -> nil [0]
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2)) [0]
   encode_uTake1(x_1) -> uTake1(encArg(x_1)) [0]
   encode_uTake2(x_1, x_2, x_3, x_4) -> uTake2(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encode_uLength(x_1, x_2) -> uLength(encArg(x_1), encArg(x_2)) [0]
   isNatIList(x0) -> c_isNatIList(x0) [0]
   isNat(x0) -> c_isNat(x0) [0]
   uTake1(x0) -> c_uTake1(x0) [0]
   and(x0, x1) -> c_and(x0, x1) [0]
   uLength(x0, x1) -> c_uLength(x0, x1) [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [0]
   uTake2(x0, x1, x2, x3) -> c_uTake2(x0, x1, x2, x3) [0]
   length(x0) -> c_length(x0) [0]
   take(x0, x1) -> c_take(x0, x1) [0]
   cons(x0, x1) -> c_cons(x0, x1) [0]
   isNatList(x0) -> c_isNatList(x0) [0]
   mark(x0) -> c_mark(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_and(v0, v1) -> null_encode_and [0]
   encode_tt -> null_encode_tt [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_isNatIList(v0) -> null_encode_isNatIList [0]
   encode_isNatList(v0) -> null_encode_isNatList [0]
   encode_isNat(v0) -> null_encode_isNat [0]
   encode_0 -> null_encode_0 [0]
   encode_s(v0) -> null_encode_s [0]
   encode_length(v0) -> null_encode_length [0]
   encode_zeros -> null_encode_zeros [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_nil -> null_encode_nil [0]
   encode_take(v0, v1) -> null_encode_take [0]
   encode_uTake1(v0) -> null_encode_uTake1 [0]
   encode_uTake2(v0, v1, v2, v3) -> null_encode_uTake2 [0]
   encode_uLength(v0, v1) -> null_encode_uLength [0]
   isNatIList(v0) -> null_isNatIList [0]
   isNat(v0) -> null_isNat [0]
   uTake1(v0) -> null_uTake1 [0]
   and(v0, v1) -> null_and [0]
   uLength(v0, v1) -> null_uLength [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [0]
   uTake2(v0, v1, v2, v3) -> null_uTake2 [0]
   length(v0) -> null_length [0]
   take(v0, v1) -> null_take [0]
   cons(v0, v1) -> null_cons [0]
   isNatList(v0) -> null_isNatList [0]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
zeros :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
0 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
tt :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
nil :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
c_and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encArg :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
cons_uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_tt :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_0 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_zeros :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_nil :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
encode_uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encArg :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_tt :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_0 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_zeros :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_nil :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_isNatIList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_isNat :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_uTake1 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_and :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_uLength :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_s :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_active :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_uTake2 :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_length :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_take :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_cons :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_isNatList :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark
null_mark :: zeros:0:tt:nil:c_active:c_mark:c_isNatList:c_uTake2:c_cons:c_isNatIList:c_take:c_uTake1:c_isNat:c_uLength:c_s:c_length:c_and:cons_active:cons_mark:cons_and:cons_isNatIList:cons_isNatList:cons_isNat:cons_s:cons_length:cons_cons:cons_take:cons_uTake1:cons_uTake2:cons_uLength:null_encArg:null_encode_active:null_encode_and:null_encode_tt:null_encode_mark:null_encode_isNatIList:null_encode_isNatList:null_encode_isNat:null_encode_0:null_encode_s:null_encode_length:null_encode_zeros:null_encode_cons:null_encode_nil:null_encode_take:null_encode_uTake1:null_encode_uTake2:null_encode_uLength:null_isNatIList:null_isNat:null_uTake1:null_and:null_uLength:null_s:null_active:null_uTake2:null_length:null_take:null_cons:null_isNatList:null_mark

Rewrite Strategy: INNERMOST
----------------------------------------

(27) CpxTrsToCdtProof (UPPER BOUND(ID))
Converted Cpx (relative) TRS to CDT
----------------------------------------

(28)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   encode_active(z0) -> active(encArg(z0))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_isNatIList(z0) -> isNatIList(encArg(z0))
   encode_isNatList(z0) -> isNatList(encArg(z0))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_0 -> 0
   encode_s(z0) -> s(encArg(z0))
   encode_length(z0) -> length(encArg(z0))
   encode_zeros -> zeros
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_nil -> nil
   encode_take(z0, z1) -> take(encArg(z0), encArg(z1))
   encode_uTake1(z0) -> uTake1(encArg(z0))
   encode_uTake2(z0, z1, z2, z3) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encode_uLength(z0, z1) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(tt) -> c
   ENCARG(0) -> c1
   ENCARG(zeros) -> c2
   ENCARG(nil) -> c3
   ENCARG(cons_active(z0)) -> c4(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_and(z0, z1)) -> c6(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ACTIVE(z0) -> c17(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_AND(z0, z1) -> c18(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_TT -> c19
   ENCODE_MARK(z0) -> c20(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_ISNATILIST(z0) -> c21(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCODE_ISNATLIST(z0) -> c22(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCODE_ISNAT(z0) -> c23(ISNAT(encArg(z0)), ENCARG(z0))
   ENCODE_0 -> c24
   ENCODE_S(z0) -> c25(S(encArg(z0)), ENCARG(z0))
   ENCODE_LENGTH(z0) -> c26(LENGTH(encArg(z0)), ENCARG(z0))
   ENCODE_ZEROS -> c27
   ENCODE_CONS(z0, z1) -> c28(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_NIL -> c29
   ENCODE_TAKE(z0, z1) -> c30(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_UTAKE1(z0) -> c31(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c32(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCODE_ULENGTH(z0, z1) -> c33(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), AND(isNat(z0), isNatList(z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)), CONS(0, zeros))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), UTAKE1(isNatIList(z0)), ISNATILIST(z0))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), UTAKE2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2), AND(isNat(z0), and(isNat(z1), isNatIList(z2))), ISNAT(z0), AND(isNat(z1), isNatIList(z2)), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ULENGTH(and(isNat(z0), isNatList(z1)), z1), AND(isNat(z0), isNatList(z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), S(length(z0)), LENGTH(z0))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(tt) -> c52(ACTIVE(tt))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(0) -> c56(ACTIVE(0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(nil) -> c61(ACTIVE(nil))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), AND(isNat(z0), isNatList(z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)), CONS(0, zeros))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), UTAKE1(isNatIList(z0)), ISNATILIST(z0))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), UTAKE2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2), AND(isNat(z0), and(isNat(z1), isNatIList(z2))), ISNAT(z0), AND(isNat(z1), isNatIList(z2)), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ULENGTH(and(isNat(z0), isNatList(z1)), z1), AND(isNat(z0), isNatList(z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), S(length(z0)), LENGTH(z0))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(tt) -> c52(ACTIVE(tt))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(0) -> c56(ACTIVE(0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(nil) -> c61(ACTIVE(nil))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
K tuples:none
Defined Rule Symbols:   active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2, encArg_1, encode_active_1, encode_and_2, encode_tt, encode_mark_1, encode_isNatIList_1, encode_isNatList_1, encode_isNat_1, encode_0, encode_s_1, encode_length_1, encode_zeros, encode_cons_2, encode_nil, encode_take_2, encode_uTake1_1, encode_uTake2_4, encode_uLength_2

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_TT, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_0, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_ZEROS, ENCODE_CONS_2, ENCODE_NIL, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2

Compound Symbols:   c, c1, c2, c3, c4_2, c5_2, c6_3, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c17_2, c18_3, c19, c20_2, c21_2, c22_2, c23_2, c24, c25_2, c26_2, c27, c28_3, c29, c30_3, c31_2, c32_5, c33_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c40_4, c41_1, c42_4, c43_4, c44_2, c45_3, c46_1, c47_7, c48_3, c49_5, c50_3, c51_4, c52_1, c53_2, c54_2, c55_2, c56_1, c57_3, c58_3, c59_1, c60_3, c61_1, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1


----------------------------------------

(29) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 8 trailing nodes:
   ENCODE_NIL -> c29
   ENCODE_ZEROS -> c27
   ENCARG(nil) -> c3
   ENCARG(0) -> c1
   ENCODE_0 -> c24
   ENCARG(tt) -> c
   ENCODE_TT -> c19
   ENCARG(zeros) -> c2

----------------------------------------

(30)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   encode_active(z0) -> active(encArg(z0))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_isNatIList(z0) -> isNatIList(encArg(z0))
   encode_isNatList(z0) -> isNatList(encArg(z0))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_0 -> 0
   encode_s(z0) -> s(encArg(z0))
   encode_length(z0) -> length(encArg(z0))
   encode_zeros -> zeros
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_nil -> nil
   encode_take(z0, z1) -> take(encArg(z0), encArg(z1))
   encode_uTake1(z0) -> uTake1(encArg(z0))
   encode_uTake2(z0, z1, z2, z3) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encode_uLength(z0, z1) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_active(z0)) -> c4(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_and(z0, z1)) -> c6(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ACTIVE(z0) -> c17(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_AND(z0, z1) -> c18(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_MARK(z0) -> c20(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_ISNATILIST(z0) -> c21(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCODE_ISNATLIST(z0) -> c22(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCODE_ISNAT(z0) -> c23(ISNAT(encArg(z0)), ENCARG(z0))
   ENCODE_S(z0) -> c25(S(encArg(z0)), ENCARG(z0))
   ENCODE_LENGTH(z0) -> c26(LENGTH(encArg(z0)), ENCARG(z0))
   ENCODE_CONS(z0, z1) -> c28(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_TAKE(z0, z1) -> c30(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_UTAKE1(z0) -> c31(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c32(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCODE_ULENGTH(z0, z1) -> c33(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), AND(isNat(z0), isNatList(z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)), CONS(0, zeros))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), UTAKE1(isNatIList(z0)), ISNATILIST(z0))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), UTAKE2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2), AND(isNat(z0), and(isNat(z1), isNatIList(z2))), ISNAT(z0), AND(isNat(z1), isNatIList(z2)), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ULENGTH(and(isNat(z0), isNatList(z1)), z1), AND(isNat(z0), isNatList(z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), S(length(z0)), LENGTH(z0))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(tt) -> c52(ACTIVE(tt))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(0) -> c56(ACTIVE(0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(nil) -> c61(ACTIVE(nil))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), AND(isNat(z0), isNatList(z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)), CONS(0, zeros))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), UTAKE1(isNatIList(z0)), ISNATILIST(z0))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), UTAKE2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2), AND(isNat(z0), and(isNat(z1), isNatIList(z2))), ISNAT(z0), AND(isNat(z1), isNatIList(z2)), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ULENGTH(and(isNat(z0), isNatList(z1)), z1), AND(isNat(z0), isNatList(z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), S(length(z0)), LENGTH(z0))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(tt) -> c52(ACTIVE(tt))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(0) -> c56(ACTIVE(0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(nil) -> c61(ACTIVE(nil))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
K tuples:none
Defined Rule Symbols:   active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2, encArg_1, encode_active_1, encode_and_2, encode_tt, encode_mark_1, encode_isNatIList_1, encode_isNatList_1, encode_isNat_1, encode_0, encode_s_1, encode_length_1, encode_zeros, encode_cons_2, encode_nil, encode_take_2, encode_uTake1_1, encode_uTake2_4, encode_uLength_2

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2

Compound Symbols:   c4_2, c5_2, c6_3, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c17_2, c18_3, c20_2, c21_2, c22_2, c23_2, c25_2, c26_2, c28_3, c30_3, c31_2, c32_5, c33_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c40_4, c41_1, c42_4, c43_4, c44_2, c45_3, c46_1, c47_7, c48_3, c49_5, c50_3, c51_4, c52_1, c53_2, c54_2, c55_2, c56_1, c57_3, c58_3, c59_1, c60_3, c61_1, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1


----------------------------------------

(31) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 14 trailing tuple parts
----------------------------------------

(32)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   encode_active(z0) -> active(encArg(z0))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_isNatIList(z0) -> isNatIList(encArg(z0))
   encode_isNatList(z0) -> isNatList(encArg(z0))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_0 -> 0
   encode_s(z0) -> s(encArg(z0))
   encode_length(z0) -> length(encArg(z0))
   encode_zeros -> zeros
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_nil -> nil
   encode_take(z0, z1) -> take(encArg(z0), encArg(z1))
   encode_uTake1(z0) -> uTake1(encArg(z0))
   encode_uTake2(z0, z1, z2, z3) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encode_uLength(z0, z1) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_active(z0)) -> c4(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_and(z0, z1)) -> c6(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ACTIVE(z0) -> c17(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_AND(z0, z1) -> c18(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_MARK(z0) -> c20(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_ISNATILIST(z0) -> c21(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCODE_ISNATLIST(z0) -> c22(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCODE_ISNAT(z0) -> c23(ISNAT(encArg(z0)), ENCARG(z0))
   ENCODE_S(z0) -> c25(S(encArg(z0)), ENCARG(z0))
   ENCODE_LENGTH(z0) -> c26(LENGTH(encArg(z0)), ENCARG(z0))
   ENCODE_CONS(z0, z1) -> c28(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_TAKE(z0, z1) -> c30(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_UTAKE1(z0) -> c31(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c32(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCODE_ULENGTH(z0, z1) -> c33(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2, encArg_1, encode_active_1, encode_and_2, encode_tt, encode_mark_1, encode_isNatIList_1, encode_isNatList_1, encode_isNat_1, encode_0, encode_s_1, encode_length_1, encode_zeros, encode_cons_2, encode_nil, encode_take_2, encode_uTake1_1, encode_uTake2_4, encode_uLength_2

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2

Compound Symbols:   c4_2, c5_2, c6_3, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c17_2, c18_3, c20_2, c21_2, c22_2, c23_2, c25_2, c26_2, c28_3, c30_3, c31_2, c32_5, c33_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61


----------------------------------------

(33) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID))
Split RHS of tuples not part of any SCC
----------------------------------------

(34)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   encode_active(z0) -> active(encArg(z0))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_isNatIList(z0) -> isNatIList(encArg(z0))
   encode_isNatList(z0) -> isNatList(encArg(z0))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_0 -> 0
   encode_s(z0) -> s(encArg(z0))
   encode_length(z0) -> length(encArg(z0))
   encode_zeros -> zeros
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_nil -> nil
   encode_take(z0, z1) -> take(encArg(z0), encArg(z1))
   encode_uTake1(z0) -> uTake1(encArg(z0))
   encode_uTake2(z0, z1, z2, z3) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encode_uLength(z0, z1) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_active(z0)) -> c4(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_and(z0, z1)) -> c6(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_ACTIVE(z0) -> c(ENCARG(z0))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(ENCARG(z0))
   ENCODE_AND(z0, z1) -> c(ENCARG(z1))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_MARK(z0) -> c(ENCARG(z0))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ENCARG(z0))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ENCARG(z0))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ENCARG(z0))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_S(z0) -> c(ENCARG(z0))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(ENCARG(z0))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_CONS(z0, z1) -> c(ENCARG(z0))
   ENCODE_CONS(z0, z1) -> c(ENCARG(z1))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(ENCARG(z0))
   ENCODE_TAKE(z0, z1) -> c(ENCARG(z1))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE1(z0) -> c(ENCARG(z0))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(ENCARG(z0))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(ENCARG(z1))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(ENCARG(z2))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(ENCARG(z3))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCODE_ULENGTH(z0, z1) -> c(ENCARG(z0))
   ENCODE_ULENGTH(z0, z1) -> c(ENCARG(z1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2, encArg_1, encode_active_1, encode_and_2, encode_tt, encode_mark_1, encode_isNatIList_1, encode_isNatList_1, encode_isNat_1, encode_0, encode_s_1, encode_length_1, encode_zeros, encode_cons_2, encode_nil, encode_take_2, encode_uTake1_1, encode_uTake2_4, encode_uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c4_2, c5_2, c6_3, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1


----------------------------------------

(35) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 20 leading nodes:
   ENCODE_ACTIVE(z0) -> c(ENCARG(z0))
   ENCODE_AND(z0, z1) -> c(ENCARG(z0))
   ENCODE_AND(z0, z1) -> c(ENCARG(z1))
   ENCODE_MARK(z0) -> c(ENCARG(z0))
   ENCODE_ISNATILIST(z0) -> c(ENCARG(z0))
   ENCODE_ISNATLIST(z0) -> c(ENCARG(z0))
   ENCODE_ISNAT(z0) -> c(ENCARG(z0))
   ENCODE_S(z0) -> c(ENCARG(z0))
   ENCODE_LENGTH(z0) -> c(ENCARG(z0))
   ENCODE_CONS(z0, z1) -> c(ENCARG(z0))
   ENCODE_CONS(z0, z1) -> c(ENCARG(z1))
   ENCODE_TAKE(z0, z1) -> c(ENCARG(z0))
   ENCODE_TAKE(z0, z1) -> c(ENCARG(z1))
   ENCODE_UTAKE1(z0) -> c(ENCARG(z0))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(ENCARG(z0))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(ENCARG(z1))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(ENCARG(z2))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(ENCARG(z3))
   ENCODE_ULENGTH(z0, z1) -> c(ENCARG(z0))
   ENCODE_ULENGTH(z0, z1) -> c(ENCARG(z1))

----------------------------------------

(36)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   encode_active(z0) -> active(encArg(z0))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_isNatIList(z0) -> isNatIList(encArg(z0))
   encode_isNatList(z0) -> isNatList(encArg(z0))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_0 -> 0
   encode_s(z0) -> s(encArg(z0))
   encode_length(z0) -> length(encArg(z0))
   encode_zeros -> zeros
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_nil -> nil
   encode_take(z0, z1) -> take(encArg(z0), encArg(z1))
   encode_uTake1(z0) -> uTake1(encArg(z0))
   encode_uTake2(z0, z1, z2, z3) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encode_uLength(z0, z1) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_active(z0)) -> c4(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_and(z0, z1)) -> c6(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2, encArg_1, encode_active_1, encode_and_2, encode_tt, encode_mark_1, encode_isNatIList_1, encode_isNatList_1, encode_isNat_1, encode_0, encode_s_1, encode_length_1, encode_zeros, encode_cons_2, encode_nil, encode_take_2, encode_uTake1_1, encode_uTake2_4, encode_uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c4_2, c5_2, c6_3, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1


----------------------------------------

(37) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_active(z0) -> active(encArg(z0))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_isNatIList(z0) -> isNatIList(encArg(z0))
   encode_isNatList(z0) -> isNatList(encArg(z0))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_0 -> 0
   encode_s(z0) -> s(encArg(z0))
   encode_length(z0) -> length(encArg(z0))
   encode_zeros -> zeros
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_nil -> nil
   encode_take(z0, z1) -> take(encArg(z0), encArg(z1))
   encode_uTake1(z0) -> uTake1(encArg(z0))
   encode_uTake2(z0, z1, z2, z3) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encode_uLength(z0, z1) -> uLength(encArg(z0), encArg(z1))

----------------------------------------

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_active(z0)) -> c4(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_and(z0, z1)) -> c6(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c4_2, c5_2, c6_3, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1


----------------------------------------

(39) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(z0)) -> c4(ACTIVE(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_active(tt)) -> c4(ACTIVE(tt), ENCARG(tt))
   ENCARG(cons_active(0)) -> c4(ACTIVE(0), ENCARG(0))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros), ENCARG(zeros))
   ENCARG(cons_active(nil)) -> c4(ACTIVE(nil), ENCARG(nil))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))

----------------------------------------

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_and(z0, z1)) -> c6(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(tt)) -> c4(ACTIVE(tt), ENCARG(tt))
   ENCARG(cons_active(0)) -> c4(ACTIVE(0), ENCARG(0))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros), ENCARG(zeros))
   ENCARG(cons_active(nil)) -> c4(ACTIVE(nil), ENCARG(nil))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c5_2, c6_3, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2


----------------------------------------

(41) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing nodes:
   ENCARG(cons_active(nil)) -> c4(ACTIVE(nil), ENCARG(nil))
   ENCARG(cons_active(tt)) -> c4(ACTIVE(tt), ENCARG(tt))
   ENCARG(cons_active(0)) -> c4(ACTIVE(0), ENCARG(0))

----------------------------------------

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_and(z0, z1)) -> c6(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros), ENCARG(zeros))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c5_2, c6_3, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2


----------------------------------------

(43) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_and(z0, z1)) -> c6(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c5_2, c6_3, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1


----------------------------------------

(45) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_mark(tt)) -> c5(MARK(tt), ENCARG(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0), ENCARG(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros), ENCARG(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil), ENCARG(nil))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))

----------------------------------------

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_and(z0, z1)) -> c6(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt), ENCARG(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0), ENCARG(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros), ENCARG(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil), ENCARG(nil))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c6_3, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2


----------------------------------------

(47) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_and(z0, z1)) -> c6(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c6_3, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1


----------------------------------------

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_and(z0, z1)) -> c6(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))

----------------------------------------

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3


----------------------------------------

(51) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 8 trailing tuple parts
----------------------------------------

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2


----------------------------------------

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_isNatIList(z0)) -> c7(ISNATILIST(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_isNatIList(tt)) -> c7(ISNATILIST(tt), ENCARG(tt))
   ENCARG(cons_isNatIList(0)) -> c7(ISNATILIST(0), ENCARG(0))
   ENCARG(cons_isNatIList(zeros)) -> c7(ISNATILIST(zeros), ENCARG(zeros))
   ENCARG(cons_isNatIList(nil)) -> c7(ISNATILIST(nil), ENCARG(nil))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))

----------------------------------------

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(tt)) -> c7(ISNATILIST(tt), ENCARG(tt))
   ENCARG(cons_isNatIList(0)) -> c7(ISNATILIST(0), ENCARG(0))
   ENCARG(cons_isNatIList(zeros)) -> c7(ISNATILIST(zeros), ENCARG(zeros))
   ENCARG(cons_isNatIList(nil)) -> c7(ISNATILIST(nil), ENCARG(nil))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2


----------------------------------------

(55) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCARG(cons_isNatIList(nil)) -> c7(ISNATILIST(nil), ENCARG(nil))
   ENCARG(cons_isNatIList(zeros)) -> c7(ISNATILIST(zeros), ENCARG(zeros))
   ENCARG(cons_isNatIList(0)) -> c7(ISNATILIST(0), ENCARG(0))
   ENCARG(cons_isNatIList(tt)) -> c7(ISNATILIST(tt), ENCARG(tt))

----------------------------------------

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c8_2, c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2


----------------------------------------

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_isNatList(z0)) -> c8(ISNATLIST(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_isNatList(tt)) -> c8(ISNATLIST(tt), ENCARG(tt))
   ENCARG(cons_isNatList(0)) -> c8(ISNATLIST(0), ENCARG(0))
   ENCARG(cons_isNatList(zeros)) -> c8(ISNATLIST(zeros), ENCARG(zeros))
   ENCARG(cons_isNatList(nil)) -> c8(ISNATLIST(nil), ENCARG(nil))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))

----------------------------------------

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(tt)) -> c8(ISNATLIST(tt), ENCARG(tt))
   ENCARG(cons_isNatList(0)) -> c8(ISNATLIST(0), ENCARG(0))
   ENCARG(cons_isNatList(zeros)) -> c8(ISNATLIST(zeros), ENCARG(zeros))
   ENCARG(cons_isNatList(nil)) -> c8(ISNATLIST(nil), ENCARG(nil))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2


----------------------------------------

(59) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCARG(cons_isNatList(nil)) -> c8(ISNATLIST(nil), ENCARG(nil))
   ENCARG(cons_isNatList(tt)) -> c8(ISNATLIST(tt), ENCARG(tt))
   ENCARG(cons_isNatList(0)) -> c8(ISNATLIST(0), ENCARG(0))
   ENCARG(cons_isNatList(zeros)) -> c8(ISNATLIST(zeros), ENCARG(zeros))

----------------------------------------

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c9_2, c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2


----------------------------------------

(61) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_isNat(z0)) -> c9(ISNAT(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_isNat(tt)) -> c9(ISNAT(tt), ENCARG(tt))
   ENCARG(cons_isNat(0)) -> c9(ISNAT(0), ENCARG(0))
   ENCARG(cons_isNat(zeros)) -> c9(ISNAT(zeros), ENCARG(zeros))
   ENCARG(cons_isNat(nil)) -> c9(ISNAT(nil), ENCARG(nil))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))

----------------------------------------

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(tt)) -> c9(ISNAT(tt), ENCARG(tt))
   ENCARG(cons_isNat(0)) -> c9(ISNAT(0), ENCARG(0))
   ENCARG(cons_isNat(zeros)) -> c9(ISNAT(zeros), ENCARG(zeros))
   ENCARG(cons_isNat(nil)) -> c9(ISNAT(nil), ENCARG(nil))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2


----------------------------------------

(63) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCARG(cons_isNat(0)) -> c9(ISNAT(0), ENCARG(0))
   ENCARG(cons_isNat(zeros)) -> c9(ISNAT(zeros), ENCARG(zeros))
   ENCARG(cons_isNat(nil)) -> c9(ISNAT(nil), ENCARG(nil))
   ENCARG(cons_isNat(tt)) -> c9(ISNAT(tt), ENCARG(tt))

----------------------------------------

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c10_2, c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2


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(65) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_s(z0)) -> c10(S(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_s(tt)) -> c10(S(tt), ENCARG(tt))
   ENCARG(cons_s(0)) -> c10(S(0), ENCARG(0))
   ENCARG(cons_s(zeros)) -> c10(S(zeros), ENCARG(zeros))
   ENCARG(cons_s(nil)) -> c10(S(nil), ENCARG(nil))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))

----------------------------------------

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(tt)) -> c10(S(tt), ENCARG(tt))
   ENCARG(cons_s(0)) -> c10(S(0), ENCARG(0))
   ENCARG(cons_s(zeros)) -> c10(S(zeros), ENCARG(zeros))
   ENCARG(cons_s(nil)) -> c10(S(nil), ENCARG(nil))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2


----------------------------------------

(67) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCARG(cons_s(nil)) -> c10(S(nil), ENCARG(nil))
   ENCARG(cons_s(tt)) -> c10(S(tt), ENCARG(tt))
   ENCARG(cons_s(0)) -> c10(S(0), ENCARG(0))
   ENCARG(cons_s(zeros)) -> c10(S(zeros), ENCARG(zeros))

----------------------------------------

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c11_2, c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2


----------------------------------------

(69) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_length(z0)) -> c11(LENGTH(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_length(tt)) -> c11(LENGTH(tt), ENCARG(tt))
   ENCARG(cons_length(0)) -> c11(LENGTH(0), ENCARG(0))
   ENCARG(cons_length(zeros)) -> c11(LENGTH(zeros), ENCARG(zeros))
   ENCARG(cons_length(nil)) -> c11(LENGTH(nil), ENCARG(nil))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))

----------------------------------------

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(tt)) -> c11(LENGTH(tt), ENCARG(tt))
   ENCARG(cons_length(0)) -> c11(LENGTH(0), ENCARG(0))
   ENCARG(cons_length(zeros)) -> c11(LENGTH(zeros), ENCARG(zeros))
   ENCARG(cons_length(nil)) -> c11(LENGTH(nil), ENCARG(nil))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2


----------------------------------------

(71) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCARG(cons_length(tt)) -> c11(LENGTH(tt), ENCARG(tt))
   ENCARG(cons_length(0)) -> c11(LENGTH(0), ENCARG(0))
   ENCARG(cons_length(zeros)) -> c11(LENGTH(zeros), ENCARG(zeros))
   ENCARG(cons_length(nil)) -> c11(LENGTH(nil), ENCARG(nil))

----------------------------------------

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c12_3, c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2


----------------------------------------

(73) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_cons(z0, z1)) -> c12(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))

----------------------------------------

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3


----------------------------------------

(75) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 8 trailing tuple parts
----------------------------------------

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c13_3, c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2


----------------------------------------

(77) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_take(z0, z1)) -> c13(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))

----------------------------------------

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3


----------------------------------------

(79) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 8 trailing tuple parts
----------------------------------------

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0))
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c14_2, c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2


----------------------------------------

(81) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_uTake1(z0)) -> c14(UTAKE1(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_uTake1(tt)) -> c14(UTAKE1(tt), ENCARG(tt))
   ENCARG(cons_uTake1(0)) -> c14(UTAKE1(0), ENCARG(0))
   ENCARG(cons_uTake1(zeros)) -> c14(UTAKE1(zeros), ENCARG(zeros))
   ENCARG(cons_uTake1(nil)) -> c14(UTAKE1(nil), ENCARG(nil))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))

----------------------------------------

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(tt)) -> c14(UTAKE1(tt), ENCARG(tt))
   ENCARG(cons_uTake1(0)) -> c14(UTAKE1(0), ENCARG(0))
   ENCARG(cons_uTake1(zeros)) -> c14(UTAKE1(zeros), ENCARG(zeros))
   ENCARG(cons_uTake1(nil)) -> c14(UTAKE1(nil), ENCARG(nil))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2


----------------------------------------

(83) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCARG(cons_uTake1(tt)) -> c14(UTAKE1(tt), ENCARG(tt))
   ENCARG(cons_uTake1(nil)) -> c14(UTAKE1(nil), ENCARG(nil))
   ENCARG(cons_uTake1(0)) -> c14(UTAKE1(0), ENCARG(0))
   ENCARG(cons_uTake1(zeros)) -> c14(UTAKE1(zeros), ENCARG(zeros))

----------------------------------------

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c15_5, c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2


----------------------------------------

(85) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_uTake2(z0, z1, z2, z3)) -> c15(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3)) by 
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(tt))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(0))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(zeros))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(nil))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(tt), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(0), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(zeros), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(nil), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(tt), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(zeros), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(nil), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(tt), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(0), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(zeros), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(nil), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))

----------------------------------------

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(tt))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(0))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(zeros))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(nil))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(tt), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(0), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(zeros), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(nil), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(tt), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(zeros), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(nil), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(tt), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(0), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(zeros), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(nil), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5


----------------------------------------

(87) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 16 trailing tuple parts
----------------------------------------

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2

Compound Symbols:   c16_3, c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4


----------------------------------------

(89) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_uLength(z0, z1)) -> c16(ULENGTH(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))

----------------------------------------

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3


----------------------------------------

(91) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 8 trailing tuple parts
----------------------------------------

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c51_4, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2


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(93) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(and(z0, z1)) -> c51(ACTIVE(and(mark(z0), mark(z1))), AND(mark(z0), mark(z1)), MARK(z0), MARK(z1)) by 
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))

----------------------------------------

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c57_3, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4


----------------------------------------

(95) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) by 
   MARK(s(z0)) -> c57(ACTIVE(s(z0)), S(mark(z0)), MARK(z0))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))

----------------------------------------

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(z0)) -> c57(ACTIVE(s(z0)), S(mark(z0)), MARK(z0))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(z0)) -> c57(ACTIVE(s(z0)), S(mark(z0)), MARK(z0))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3


----------------------------------------

(97) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c58_3, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2


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(99) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0)) by 
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))

----------------------------------------

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c60_3, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3


----------------------------------------

(101) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(cons(z0, z1)) -> c60(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) by 
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(z0, z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))

----------------------------------------

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(z0, z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(z0, z1)) -> c60(ACTIVE(cons(z0, z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1


----------------------------------------

(103) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c62_4, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2


----------------------------------------

(105) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1)) by 
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))

----------------------------------------

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c63_3, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4


----------------------------------------

(107) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(mark(z0))), UTAKE1(mark(z0)), MARK(z0)) by 
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))

----------------------------------------

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c64_3, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3


----------------------------------------

(109) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(mark(z0), z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0)) by 
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))

----------------------------------------

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c65_3, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1


----------------------------------------

(111) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(mark(z0), z1)), ULENGTH(mark(z0), z1), MARK(z0)) by 
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))

----------------------------------------

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(113) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) by 
   ENCODE_ACTIVE(tt) -> c(ACTIVE(tt))
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))
   ENCODE_ACTIVE(zeros) -> c(ACTIVE(zeros))
   ENCODE_ACTIVE(nil) -> c(ACTIVE(nil))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))

----------------------------------------

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(tt) -> c(ACTIVE(tt))
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))
   ENCODE_ACTIVE(zeros) -> c(ACTIVE(zeros))
   ENCODE_ACTIVE(nil) -> c(ACTIVE(nil))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(115) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 1 leading nodes:
   ENCODE_ACTIVE(zeros) -> c(ACTIVE(zeros))
Removed 3 trailing nodes:
   ENCODE_ACTIVE(nil) -> c(ACTIVE(nil))
   ENCODE_ACTIVE(tt) -> c(ACTIVE(tt))
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))

----------------------------------------

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(117) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1))) by 
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))

----------------------------------------

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(119) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_MARK(z0) -> c(MARK(encArg(z0))) by 
   ENCODE_MARK(tt) -> c(MARK(tt))
   ENCODE_MARK(0) -> c(MARK(0))
   ENCODE_MARK(zeros) -> c(MARK(zeros))
   ENCODE_MARK(nil) -> c(MARK(nil))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))

----------------------------------------

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_MARK(tt) -> c(MARK(tt))
   ENCODE_MARK(0) -> c(MARK(0))
   ENCODE_MARK(zeros) -> c(MARK(zeros))
   ENCODE_MARK(nil) -> c(MARK(nil))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(121) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 4 leading nodes:
   ENCODE_MARK(zeros) -> c(MARK(zeros))
   ENCODE_MARK(tt) -> c(MARK(tt))
   ENCODE_MARK(0) -> c(MARK(0))
   ENCODE_MARK(nil) -> c(MARK(nil))

----------------------------------------

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(123) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0))) by 
   ENCODE_ISNATILIST(tt) -> c(ISNATILIST(tt))
   ENCODE_ISNATILIST(0) -> c(ISNATILIST(0))
   ENCODE_ISNATILIST(zeros) -> c(ISNATILIST(zeros))
   ENCODE_ISNATILIST(nil) -> c(ISNATILIST(nil))
   ENCODE_ISNATILIST(cons_active(z0)) -> c(ISNATILIST(active(encArg(z0))))
   ENCODE_ISNATILIST(cons_mark(z0)) -> c(ISNATILIST(mark(encArg(z0))))
   ENCODE_ISNATILIST(cons_and(z0, z1)) -> c(ISNATILIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_isNatIList(z0)) -> c(ISNATILIST(isNatIList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNatList(z0)) -> c(ISNATILIST(isNatList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNat(z0)) -> c(ISNATILIST(isNat(encArg(z0))))
   ENCODE_ISNATILIST(cons_s(z0)) -> c(ISNATILIST(s(encArg(z0))))
   ENCODE_ISNATILIST(cons_length(z0)) -> c(ISNATILIST(length(encArg(z0))))
   ENCODE_ISNATILIST(cons_cons(z0, z1)) -> c(ISNATILIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_take(z0, z1)) -> c(ISNATILIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_uTake1(z0)) -> c(ISNATILIST(uTake1(encArg(z0))))
   ENCODE_ISNATILIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATILIST(cons_uLength(z0, z1)) -> c(ISNATILIST(uLength(encArg(z0), encArg(z1))))

----------------------------------------

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(tt) -> c(ISNATILIST(tt))
   ENCODE_ISNATILIST(0) -> c(ISNATILIST(0))
   ENCODE_ISNATILIST(zeros) -> c(ISNATILIST(zeros))
   ENCODE_ISNATILIST(nil) -> c(ISNATILIST(nil))
   ENCODE_ISNATILIST(cons_active(z0)) -> c(ISNATILIST(active(encArg(z0))))
   ENCODE_ISNATILIST(cons_mark(z0)) -> c(ISNATILIST(mark(encArg(z0))))
   ENCODE_ISNATILIST(cons_and(z0, z1)) -> c(ISNATILIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_isNatIList(z0)) -> c(ISNATILIST(isNatIList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNatList(z0)) -> c(ISNATILIST(isNatList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNat(z0)) -> c(ISNATILIST(isNat(encArg(z0))))
   ENCODE_ISNATILIST(cons_s(z0)) -> c(ISNATILIST(s(encArg(z0))))
   ENCODE_ISNATILIST(cons_length(z0)) -> c(ISNATILIST(length(encArg(z0))))
   ENCODE_ISNATILIST(cons_cons(z0, z1)) -> c(ISNATILIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_take(z0, z1)) -> c(ISNATILIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_uTake1(z0)) -> c(ISNATILIST(uTake1(encArg(z0))))
   ENCODE_ISNATILIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATILIST(cons_uLength(z0, z1)) -> c(ISNATILIST(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(125) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCODE_ISNATILIST(nil) -> c(ISNATILIST(nil))
   ENCODE_ISNATILIST(0) -> c(ISNATILIST(0))
   ENCODE_ISNATILIST(tt) -> c(ISNATILIST(tt))
   ENCODE_ISNATILIST(zeros) -> c(ISNATILIST(zeros))

----------------------------------------

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_active(z0)) -> c(ISNATILIST(active(encArg(z0))))
   ENCODE_ISNATILIST(cons_mark(z0)) -> c(ISNATILIST(mark(encArg(z0))))
   ENCODE_ISNATILIST(cons_and(z0, z1)) -> c(ISNATILIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_isNatIList(z0)) -> c(ISNATILIST(isNatIList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNatList(z0)) -> c(ISNATILIST(isNatList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNat(z0)) -> c(ISNATILIST(isNat(encArg(z0))))
   ENCODE_ISNATILIST(cons_s(z0)) -> c(ISNATILIST(s(encArg(z0))))
   ENCODE_ISNATILIST(cons_length(z0)) -> c(ISNATILIST(length(encArg(z0))))
   ENCODE_ISNATILIST(cons_cons(z0, z1)) -> c(ISNATILIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_take(z0, z1)) -> c(ISNATILIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_uTake1(z0)) -> c(ISNATILIST(uTake1(encArg(z0))))
   ENCODE_ISNATILIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATILIST(cons_uLength(z0, z1)) -> c(ISNATILIST(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(127) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0))) by 
   ENCODE_ISNATLIST(tt) -> c(ISNATLIST(tt))
   ENCODE_ISNATLIST(0) -> c(ISNATLIST(0))
   ENCODE_ISNATLIST(zeros) -> c(ISNATLIST(zeros))
   ENCODE_ISNATLIST(nil) -> c(ISNATLIST(nil))
   ENCODE_ISNATLIST(cons_active(z0)) -> c(ISNATLIST(active(encArg(z0))))
   ENCODE_ISNATLIST(cons_mark(z0)) -> c(ISNATLIST(mark(encArg(z0))))
   ENCODE_ISNATLIST(cons_and(z0, z1)) -> c(ISNATLIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_isNatIList(z0)) -> c(ISNATLIST(isNatIList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNatList(z0)) -> c(ISNATLIST(isNatList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNat(z0)) -> c(ISNATLIST(isNat(encArg(z0))))
   ENCODE_ISNATLIST(cons_s(z0)) -> c(ISNATLIST(s(encArg(z0))))
   ENCODE_ISNATLIST(cons_length(z0)) -> c(ISNATLIST(length(encArg(z0))))
   ENCODE_ISNATLIST(cons_cons(z0, z1)) -> c(ISNATLIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_take(z0, z1)) -> c(ISNATLIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_uTake1(z0)) -> c(ISNATLIST(uTake1(encArg(z0))))
   ENCODE_ISNATLIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATLIST(cons_uLength(z0, z1)) -> c(ISNATLIST(uLength(encArg(z0), encArg(z1))))

----------------------------------------

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_active(z0)) -> c(ISNATILIST(active(encArg(z0))))
   ENCODE_ISNATILIST(cons_mark(z0)) -> c(ISNATILIST(mark(encArg(z0))))
   ENCODE_ISNATILIST(cons_and(z0, z1)) -> c(ISNATILIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_isNatIList(z0)) -> c(ISNATILIST(isNatIList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNatList(z0)) -> c(ISNATILIST(isNatList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNat(z0)) -> c(ISNATILIST(isNat(encArg(z0))))
   ENCODE_ISNATILIST(cons_s(z0)) -> c(ISNATILIST(s(encArg(z0))))
   ENCODE_ISNATILIST(cons_length(z0)) -> c(ISNATILIST(length(encArg(z0))))
   ENCODE_ISNATILIST(cons_cons(z0, z1)) -> c(ISNATILIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_take(z0, z1)) -> c(ISNATILIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_uTake1(z0)) -> c(ISNATILIST(uTake1(encArg(z0))))
   ENCODE_ISNATILIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATILIST(cons_uLength(z0, z1)) -> c(ISNATILIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(tt) -> c(ISNATLIST(tt))
   ENCODE_ISNATLIST(0) -> c(ISNATLIST(0))
   ENCODE_ISNATLIST(zeros) -> c(ISNATLIST(zeros))
   ENCODE_ISNATLIST(nil) -> c(ISNATLIST(nil))
   ENCODE_ISNATLIST(cons_active(z0)) -> c(ISNATLIST(active(encArg(z0))))
   ENCODE_ISNATLIST(cons_mark(z0)) -> c(ISNATLIST(mark(encArg(z0))))
   ENCODE_ISNATLIST(cons_and(z0, z1)) -> c(ISNATLIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_isNatIList(z0)) -> c(ISNATLIST(isNatIList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNatList(z0)) -> c(ISNATLIST(isNatList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNat(z0)) -> c(ISNATLIST(isNat(encArg(z0))))
   ENCODE_ISNATLIST(cons_s(z0)) -> c(ISNATLIST(s(encArg(z0))))
   ENCODE_ISNATLIST(cons_length(z0)) -> c(ISNATLIST(length(encArg(z0))))
   ENCODE_ISNATLIST(cons_cons(z0, z1)) -> c(ISNATLIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_take(z0, z1)) -> c(ISNATLIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_uTake1(z0)) -> c(ISNATLIST(uTake1(encArg(z0))))
   ENCODE_ISNATLIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATLIST(cons_uLength(z0, z1)) -> c(ISNATLIST(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(129) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCODE_ISNATLIST(zeros) -> c(ISNATLIST(zeros))
   ENCODE_ISNATLIST(nil) -> c(ISNATLIST(nil))
   ENCODE_ISNATLIST(0) -> c(ISNATLIST(0))
   ENCODE_ISNATLIST(tt) -> c(ISNATLIST(tt))

----------------------------------------

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_active(z0)) -> c(ISNATILIST(active(encArg(z0))))
   ENCODE_ISNATILIST(cons_mark(z0)) -> c(ISNATILIST(mark(encArg(z0))))
   ENCODE_ISNATILIST(cons_and(z0, z1)) -> c(ISNATILIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_isNatIList(z0)) -> c(ISNATILIST(isNatIList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNatList(z0)) -> c(ISNATILIST(isNatList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNat(z0)) -> c(ISNATILIST(isNat(encArg(z0))))
   ENCODE_ISNATILIST(cons_s(z0)) -> c(ISNATILIST(s(encArg(z0))))
   ENCODE_ISNATILIST(cons_length(z0)) -> c(ISNATILIST(length(encArg(z0))))
   ENCODE_ISNATILIST(cons_cons(z0, z1)) -> c(ISNATILIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_take(z0, z1)) -> c(ISNATILIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_uTake1(z0)) -> c(ISNATILIST(uTake1(encArg(z0))))
   ENCODE_ISNATILIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATILIST(cons_uLength(z0, z1)) -> c(ISNATILIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_active(z0)) -> c(ISNATLIST(active(encArg(z0))))
   ENCODE_ISNATLIST(cons_mark(z0)) -> c(ISNATLIST(mark(encArg(z0))))
   ENCODE_ISNATLIST(cons_and(z0, z1)) -> c(ISNATLIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_isNatIList(z0)) -> c(ISNATLIST(isNatIList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNatList(z0)) -> c(ISNATLIST(isNatList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNat(z0)) -> c(ISNATLIST(isNat(encArg(z0))))
   ENCODE_ISNATLIST(cons_s(z0)) -> c(ISNATLIST(s(encArg(z0))))
   ENCODE_ISNATLIST(cons_length(z0)) -> c(ISNATLIST(length(encArg(z0))))
   ENCODE_ISNATLIST(cons_cons(z0, z1)) -> c(ISNATLIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_take(z0, z1)) -> c(ISNATLIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_uTake1(z0)) -> c(ISNATLIST(uTake1(encArg(z0))))
   ENCODE_ISNATLIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATLIST(cons_uLength(z0, z1)) -> c(ISNATLIST(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(131) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) by 
   ENCODE_ISNAT(tt) -> c(ISNAT(tt))
   ENCODE_ISNAT(0) -> c(ISNAT(0))
   ENCODE_ISNAT(zeros) -> c(ISNAT(zeros))
   ENCODE_ISNAT(nil) -> c(ISNAT(nil))
   ENCODE_ISNAT(cons_active(z0)) -> c(ISNAT(active(encArg(z0))))
   ENCODE_ISNAT(cons_mark(z0)) -> c(ISNAT(mark(encArg(z0))))
   ENCODE_ISNAT(cons_and(z0, z1)) -> c(ISNAT(and(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNatIList(z0)) -> c(ISNAT(isNatIList(encArg(z0))))
   ENCODE_ISNAT(cons_isNatList(z0)) -> c(ISNAT(isNatList(encArg(z0))))
   ENCODE_ISNAT(cons_isNat(z0)) -> c(ISNAT(isNat(encArg(z0))))
   ENCODE_ISNAT(cons_s(z0)) -> c(ISNAT(s(encArg(z0))))
   ENCODE_ISNAT(cons_length(z0)) -> c(ISNAT(length(encArg(z0))))
   ENCODE_ISNAT(cons_cons(z0, z1)) -> c(ISNAT(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_take(z0, z1)) -> c(ISNAT(take(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_uTake1(z0)) -> c(ISNAT(uTake1(encArg(z0))))
   ENCODE_ISNAT(cons_uTake2(z0, z1, z2, z3)) -> c(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNAT(cons_uLength(z0, z1)) -> c(ISNAT(uLength(encArg(z0), encArg(z1))))

----------------------------------------

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_active(z0)) -> c(ISNATILIST(active(encArg(z0))))
   ENCODE_ISNATILIST(cons_mark(z0)) -> c(ISNATILIST(mark(encArg(z0))))
   ENCODE_ISNATILIST(cons_and(z0, z1)) -> c(ISNATILIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_isNatIList(z0)) -> c(ISNATILIST(isNatIList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNatList(z0)) -> c(ISNATILIST(isNatList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNat(z0)) -> c(ISNATILIST(isNat(encArg(z0))))
   ENCODE_ISNATILIST(cons_s(z0)) -> c(ISNATILIST(s(encArg(z0))))
   ENCODE_ISNATILIST(cons_length(z0)) -> c(ISNATILIST(length(encArg(z0))))
   ENCODE_ISNATILIST(cons_cons(z0, z1)) -> c(ISNATILIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_take(z0, z1)) -> c(ISNATILIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_uTake1(z0)) -> c(ISNATILIST(uTake1(encArg(z0))))
   ENCODE_ISNATILIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATILIST(cons_uLength(z0, z1)) -> c(ISNATILIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_active(z0)) -> c(ISNATLIST(active(encArg(z0))))
   ENCODE_ISNATLIST(cons_mark(z0)) -> c(ISNATLIST(mark(encArg(z0))))
   ENCODE_ISNATLIST(cons_and(z0, z1)) -> c(ISNATLIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_isNatIList(z0)) -> c(ISNATLIST(isNatIList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNatList(z0)) -> c(ISNATLIST(isNatList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNat(z0)) -> c(ISNATLIST(isNat(encArg(z0))))
   ENCODE_ISNATLIST(cons_s(z0)) -> c(ISNATLIST(s(encArg(z0))))
   ENCODE_ISNATLIST(cons_length(z0)) -> c(ISNATLIST(length(encArg(z0))))
   ENCODE_ISNATLIST(cons_cons(z0, z1)) -> c(ISNATLIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_take(z0, z1)) -> c(ISNATLIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_uTake1(z0)) -> c(ISNATLIST(uTake1(encArg(z0))))
   ENCODE_ISNATLIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATLIST(cons_uLength(z0, z1)) -> c(ISNATLIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(tt) -> c(ISNAT(tt))
   ENCODE_ISNAT(0) -> c(ISNAT(0))
   ENCODE_ISNAT(zeros) -> c(ISNAT(zeros))
   ENCODE_ISNAT(nil) -> c(ISNAT(nil))
   ENCODE_ISNAT(cons_active(z0)) -> c(ISNAT(active(encArg(z0))))
   ENCODE_ISNAT(cons_mark(z0)) -> c(ISNAT(mark(encArg(z0))))
   ENCODE_ISNAT(cons_and(z0, z1)) -> c(ISNAT(and(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNatIList(z0)) -> c(ISNAT(isNatIList(encArg(z0))))
   ENCODE_ISNAT(cons_isNatList(z0)) -> c(ISNAT(isNatList(encArg(z0))))
   ENCODE_ISNAT(cons_isNat(z0)) -> c(ISNAT(isNat(encArg(z0))))
   ENCODE_ISNAT(cons_s(z0)) -> c(ISNAT(s(encArg(z0))))
   ENCODE_ISNAT(cons_length(z0)) -> c(ISNAT(length(encArg(z0))))
   ENCODE_ISNAT(cons_cons(z0, z1)) -> c(ISNAT(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_take(z0, z1)) -> c(ISNAT(take(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_uTake1(z0)) -> c(ISNAT(uTake1(encArg(z0))))
   ENCODE_ISNAT(cons_uTake2(z0, z1, z2, z3)) -> c(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNAT(cons_uLength(z0, z1)) -> c(ISNAT(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(133) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCODE_ISNAT(zeros) -> c(ISNAT(zeros))
   ENCODE_ISNAT(0) -> c(ISNAT(0))
   ENCODE_ISNAT(tt) -> c(ISNAT(tt))
   ENCODE_ISNAT(nil) -> c(ISNAT(nil))

----------------------------------------

(134)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_active(z0)) -> c(ISNATILIST(active(encArg(z0))))
   ENCODE_ISNATILIST(cons_mark(z0)) -> c(ISNATILIST(mark(encArg(z0))))
   ENCODE_ISNATILIST(cons_and(z0, z1)) -> c(ISNATILIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_isNatIList(z0)) -> c(ISNATILIST(isNatIList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNatList(z0)) -> c(ISNATILIST(isNatList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNat(z0)) -> c(ISNATILIST(isNat(encArg(z0))))
   ENCODE_ISNATILIST(cons_s(z0)) -> c(ISNATILIST(s(encArg(z0))))
   ENCODE_ISNATILIST(cons_length(z0)) -> c(ISNATILIST(length(encArg(z0))))
   ENCODE_ISNATILIST(cons_cons(z0, z1)) -> c(ISNATILIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_take(z0, z1)) -> c(ISNATILIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_uTake1(z0)) -> c(ISNATILIST(uTake1(encArg(z0))))
   ENCODE_ISNATILIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATILIST(cons_uLength(z0, z1)) -> c(ISNATILIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_active(z0)) -> c(ISNATLIST(active(encArg(z0))))
   ENCODE_ISNATLIST(cons_mark(z0)) -> c(ISNATLIST(mark(encArg(z0))))
   ENCODE_ISNATLIST(cons_and(z0, z1)) -> c(ISNATLIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_isNatIList(z0)) -> c(ISNATLIST(isNatIList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNatList(z0)) -> c(ISNATLIST(isNatList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNat(z0)) -> c(ISNATLIST(isNat(encArg(z0))))
   ENCODE_ISNATLIST(cons_s(z0)) -> c(ISNATLIST(s(encArg(z0))))
   ENCODE_ISNATLIST(cons_length(z0)) -> c(ISNATLIST(length(encArg(z0))))
   ENCODE_ISNATLIST(cons_cons(z0, z1)) -> c(ISNATLIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_take(z0, z1)) -> c(ISNATLIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_uTake1(z0)) -> c(ISNATLIST(uTake1(encArg(z0))))
   ENCODE_ISNATLIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATLIST(cons_uLength(z0, z1)) -> c(ISNATLIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_active(z0)) -> c(ISNAT(active(encArg(z0))))
   ENCODE_ISNAT(cons_mark(z0)) -> c(ISNAT(mark(encArg(z0))))
   ENCODE_ISNAT(cons_and(z0, z1)) -> c(ISNAT(and(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNatIList(z0)) -> c(ISNAT(isNatIList(encArg(z0))))
   ENCODE_ISNAT(cons_isNatList(z0)) -> c(ISNAT(isNatList(encArg(z0))))
   ENCODE_ISNAT(cons_isNat(z0)) -> c(ISNAT(isNat(encArg(z0))))
   ENCODE_ISNAT(cons_s(z0)) -> c(ISNAT(s(encArg(z0))))
   ENCODE_ISNAT(cons_length(z0)) -> c(ISNAT(length(encArg(z0))))
   ENCODE_ISNAT(cons_cons(z0, z1)) -> c(ISNAT(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_take(z0, z1)) -> c(ISNAT(take(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_uTake1(z0)) -> c(ISNAT(uTake1(encArg(z0))))
   ENCODE_ISNAT(cons_uTake2(z0, z1, z2, z3)) -> c(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNAT(cons_uLength(z0, z1)) -> c(ISNAT(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(135) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_S(z0) -> c(S(encArg(z0))) by 
   ENCODE_S(tt) -> c(S(tt))
   ENCODE_S(0) -> c(S(0))
   ENCODE_S(zeros) -> c(S(zeros))
   ENCODE_S(nil) -> c(S(nil))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_uTake1(z0)) -> c(S(uTake1(encArg(z0))))
   ENCODE_S(cons_uTake2(z0, z1, z2, z3)) -> c(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_uLength(z0, z1)) -> c(S(uLength(encArg(z0), encArg(z1))))

----------------------------------------

(136)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_active(z0)) -> c(ISNATILIST(active(encArg(z0))))
   ENCODE_ISNATILIST(cons_mark(z0)) -> c(ISNATILIST(mark(encArg(z0))))
   ENCODE_ISNATILIST(cons_and(z0, z1)) -> c(ISNATILIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_isNatIList(z0)) -> c(ISNATILIST(isNatIList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNatList(z0)) -> c(ISNATILIST(isNatList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNat(z0)) -> c(ISNATILIST(isNat(encArg(z0))))
   ENCODE_ISNATILIST(cons_s(z0)) -> c(ISNATILIST(s(encArg(z0))))
   ENCODE_ISNATILIST(cons_length(z0)) -> c(ISNATILIST(length(encArg(z0))))
   ENCODE_ISNATILIST(cons_cons(z0, z1)) -> c(ISNATILIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_take(z0, z1)) -> c(ISNATILIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_uTake1(z0)) -> c(ISNATILIST(uTake1(encArg(z0))))
   ENCODE_ISNATILIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATILIST(cons_uLength(z0, z1)) -> c(ISNATILIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_active(z0)) -> c(ISNATLIST(active(encArg(z0))))
   ENCODE_ISNATLIST(cons_mark(z0)) -> c(ISNATLIST(mark(encArg(z0))))
   ENCODE_ISNATLIST(cons_and(z0, z1)) -> c(ISNATLIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_isNatIList(z0)) -> c(ISNATLIST(isNatIList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNatList(z0)) -> c(ISNATLIST(isNatList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNat(z0)) -> c(ISNATLIST(isNat(encArg(z0))))
   ENCODE_ISNATLIST(cons_s(z0)) -> c(ISNATLIST(s(encArg(z0))))
   ENCODE_ISNATLIST(cons_length(z0)) -> c(ISNATLIST(length(encArg(z0))))
   ENCODE_ISNATLIST(cons_cons(z0, z1)) -> c(ISNATLIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_take(z0, z1)) -> c(ISNATLIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_uTake1(z0)) -> c(ISNATLIST(uTake1(encArg(z0))))
   ENCODE_ISNATLIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATLIST(cons_uLength(z0, z1)) -> c(ISNATLIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_active(z0)) -> c(ISNAT(active(encArg(z0))))
   ENCODE_ISNAT(cons_mark(z0)) -> c(ISNAT(mark(encArg(z0))))
   ENCODE_ISNAT(cons_and(z0, z1)) -> c(ISNAT(and(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNatIList(z0)) -> c(ISNAT(isNatIList(encArg(z0))))
   ENCODE_ISNAT(cons_isNatList(z0)) -> c(ISNAT(isNatList(encArg(z0))))
   ENCODE_ISNAT(cons_isNat(z0)) -> c(ISNAT(isNat(encArg(z0))))
   ENCODE_ISNAT(cons_s(z0)) -> c(ISNAT(s(encArg(z0))))
   ENCODE_ISNAT(cons_length(z0)) -> c(ISNAT(length(encArg(z0))))
   ENCODE_ISNAT(cons_cons(z0, z1)) -> c(ISNAT(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_take(z0, z1)) -> c(ISNAT(take(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_uTake1(z0)) -> c(ISNAT(uTake1(encArg(z0))))
   ENCODE_ISNAT(cons_uTake2(z0, z1, z2, z3)) -> c(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNAT(cons_uLength(z0, z1)) -> c(ISNAT(uLength(encArg(z0), encArg(z1))))
   ENCODE_S(tt) -> c(S(tt))
   ENCODE_S(0) -> c(S(0))
   ENCODE_S(zeros) -> c(S(zeros))
   ENCODE_S(nil) -> c(S(nil))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_uTake1(z0)) -> c(S(uTake1(encArg(z0))))
   ENCODE_S(cons_uTake2(z0, z1, z2, z3)) -> c(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_uLength(z0, z1)) -> c(S(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(137) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCODE_S(0) -> c(S(0))
   ENCODE_S(tt) -> c(S(tt))
   ENCODE_S(nil) -> c(S(nil))
   ENCODE_S(zeros) -> c(S(zeros))

----------------------------------------

(138)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_active(z0)) -> c(ISNATILIST(active(encArg(z0))))
   ENCODE_ISNATILIST(cons_mark(z0)) -> c(ISNATILIST(mark(encArg(z0))))
   ENCODE_ISNATILIST(cons_and(z0, z1)) -> c(ISNATILIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_isNatIList(z0)) -> c(ISNATILIST(isNatIList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNatList(z0)) -> c(ISNATILIST(isNatList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNat(z0)) -> c(ISNATILIST(isNat(encArg(z0))))
   ENCODE_ISNATILIST(cons_s(z0)) -> c(ISNATILIST(s(encArg(z0))))
   ENCODE_ISNATILIST(cons_length(z0)) -> c(ISNATILIST(length(encArg(z0))))
   ENCODE_ISNATILIST(cons_cons(z0, z1)) -> c(ISNATILIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_take(z0, z1)) -> c(ISNATILIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_uTake1(z0)) -> c(ISNATILIST(uTake1(encArg(z0))))
   ENCODE_ISNATILIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATILIST(cons_uLength(z0, z1)) -> c(ISNATILIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_active(z0)) -> c(ISNATLIST(active(encArg(z0))))
   ENCODE_ISNATLIST(cons_mark(z0)) -> c(ISNATLIST(mark(encArg(z0))))
   ENCODE_ISNATLIST(cons_and(z0, z1)) -> c(ISNATLIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_isNatIList(z0)) -> c(ISNATLIST(isNatIList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNatList(z0)) -> c(ISNATLIST(isNatList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNat(z0)) -> c(ISNATLIST(isNat(encArg(z0))))
   ENCODE_ISNATLIST(cons_s(z0)) -> c(ISNATLIST(s(encArg(z0))))
   ENCODE_ISNATLIST(cons_length(z0)) -> c(ISNATLIST(length(encArg(z0))))
   ENCODE_ISNATLIST(cons_cons(z0, z1)) -> c(ISNATLIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_take(z0, z1)) -> c(ISNATLIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_uTake1(z0)) -> c(ISNATLIST(uTake1(encArg(z0))))
   ENCODE_ISNATLIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATLIST(cons_uLength(z0, z1)) -> c(ISNATLIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_active(z0)) -> c(ISNAT(active(encArg(z0))))
   ENCODE_ISNAT(cons_mark(z0)) -> c(ISNAT(mark(encArg(z0))))
   ENCODE_ISNAT(cons_and(z0, z1)) -> c(ISNAT(and(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNatIList(z0)) -> c(ISNAT(isNatIList(encArg(z0))))
   ENCODE_ISNAT(cons_isNatList(z0)) -> c(ISNAT(isNatList(encArg(z0))))
   ENCODE_ISNAT(cons_isNat(z0)) -> c(ISNAT(isNat(encArg(z0))))
   ENCODE_ISNAT(cons_s(z0)) -> c(ISNAT(s(encArg(z0))))
   ENCODE_ISNAT(cons_length(z0)) -> c(ISNAT(length(encArg(z0))))
   ENCODE_ISNAT(cons_cons(z0, z1)) -> c(ISNAT(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_take(z0, z1)) -> c(ISNAT(take(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_uTake1(z0)) -> c(ISNAT(uTake1(encArg(z0))))
   ENCODE_ISNAT(cons_uTake2(z0, z1, z2, z3)) -> c(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNAT(cons_uLength(z0, z1)) -> c(ISNAT(uLength(encArg(z0), encArg(z1))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_uTake1(z0)) -> c(S(uTake1(encArg(z0))))
   ENCODE_S(cons_uTake2(z0, z1, z2, z3)) -> c(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_uLength(z0, z1)) -> c(S(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_LENGTH_1, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


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(139) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0))) by 
   ENCODE_LENGTH(tt) -> c(LENGTH(tt))
   ENCODE_LENGTH(0) -> c(LENGTH(0))
   ENCODE_LENGTH(zeros) -> c(LENGTH(zeros))
   ENCODE_LENGTH(nil) -> c(LENGTH(nil))
   ENCODE_LENGTH(cons_active(z0)) -> c(LENGTH(active(encArg(z0))))
   ENCODE_LENGTH(cons_mark(z0)) -> c(LENGTH(mark(encArg(z0))))
   ENCODE_LENGTH(cons_and(z0, z1)) -> c(LENGTH(and(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_isNatIList(z0)) -> c(LENGTH(isNatIList(encArg(z0))))
   ENCODE_LENGTH(cons_isNatList(z0)) -> c(LENGTH(isNatList(encArg(z0))))
   ENCODE_LENGTH(cons_isNat(z0)) -> c(LENGTH(isNat(encArg(z0))))
   ENCODE_LENGTH(cons_s(z0)) -> c(LENGTH(s(encArg(z0))))
   ENCODE_LENGTH(cons_length(z0)) -> c(LENGTH(length(encArg(z0))))
   ENCODE_LENGTH(cons_cons(z0, z1)) -> c(LENGTH(cons(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_take(z0, z1)) -> c(LENGTH(take(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_uTake1(z0)) -> c(LENGTH(uTake1(encArg(z0))))
   ENCODE_LENGTH(cons_uTake2(z0, z1, z2, z3)) -> c(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_LENGTH(cons_uLength(z0, z1)) -> c(LENGTH(uLength(encArg(z0), encArg(z1))))

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(140)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_active(z0)) -> c(ISNATILIST(active(encArg(z0))))
   ENCODE_ISNATILIST(cons_mark(z0)) -> c(ISNATILIST(mark(encArg(z0))))
   ENCODE_ISNATILIST(cons_and(z0, z1)) -> c(ISNATILIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_isNatIList(z0)) -> c(ISNATILIST(isNatIList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNatList(z0)) -> c(ISNATILIST(isNatList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNat(z0)) -> c(ISNATILIST(isNat(encArg(z0))))
   ENCODE_ISNATILIST(cons_s(z0)) -> c(ISNATILIST(s(encArg(z0))))
   ENCODE_ISNATILIST(cons_length(z0)) -> c(ISNATILIST(length(encArg(z0))))
   ENCODE_ISNATILIST(cons_cons(z0, z1)) -> c(ISNATILIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_take(z0, z1)) -> c(ISNATILIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_uTake1(z0)) -> c(ISNATILIST(uTake1(encArg(z0))))
   ENCODE_ISNATILIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATILIST(cons_uLength(z0, z1)) -> c(ISNATILIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_active(z0)) -> c(ISNATLIST(active(encArg(z0))))
   ENCODE_ISNATLIST(cons_mark(z0)) -> c(ISNATLIST(mark(encArg(z0))))
   ENCODE_ISNATLIST(cons_and(z0, z1)) -> c(ISNATLIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_isNatIList(z0)) -> c(ISNATLIST(isNatIList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNatList(z0)) -> c(ISNATLIST(isNatList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNat(z0)) -> c(ISNATLIST(isNat(encArg(z0))))
   ENCODE_ISNATLIST(cons_s(z0)) -> c(ISNATLIST(s(encArg(z0))))
   ENCODE_ISNATLIST(cons_length(z0)) -> c(ISNATLIST(length(encArg(z0))))
   ENCODE_ISNATLIST(cons_cons(z0, z1)) -> c(ISNATLIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_take(z0, z1)) -> c(ISNATLIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_uTake1(z0)) -> c(ISNATLIST(uTake1(encArg(z0))))
   ENCODE_ISNATLIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATLIST(cons_uLength(z0, z1)) -> c(ISNATLIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_active(z0)) -> c(ISNAT(active(encArg(z0))))
   ENCODE_ISNAT(cons_mark(z0)) -> c(ISNAT(mark(encArg(z0))))
   ENCODE_ISNAT(cons_and(z0, z1)) -> c(ISNAT(and(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNatIList(z0)) -> c(ISNAT(isNatIList(encArg(z0))))
   ENCODE_ISNAT(cons_isNatList(z0)) -> c(ISNAT(isNatList(encArg(z0))))
   ENCODE_ISNAT(cons_isNat(z0)) -> c(ISNAT(isNat(encArg(z0))))
   ENCODE_ISNAT(cons_s(z0)) -> c(ISNAT(s(encArg(z0))))
   ENCODE_ISNAT(cons_length(z0)) -> c(ISNAT(length(encArg(z0))))
   ENCODE_ISNAT(cons_cons(z0, z1)) -> c(ISNAT(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_take(z0, z1)) -> c(ISNAT(take(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_uTake1(z0)) -> c(ISNAT(uTake1(encArg(z0))))
   ENCODE_ISNAT(cons_uTake2(z0, z1, z2, z3)) -> c(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNAT(cons_uLength(z0, z1)) -> c(ISNAT(uLength(encArg(z0), encArg(z1))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_uTake1(z0)) -> c(S(uTake1(encArg(z0))))
   ENCODE_S(cons_uTake2(z0, z1, z2, z3)) -> c(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_uLength(z0, z1)) -> c(S(uLength(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(tt) -> c(LENGTH(tt))
   ENCODE_LENGTH(0) -> c(LENGTH(0))
   ENCODE_LENGTH(zeros) -> c(LENGTH(zeros))
   ENCODE_LENGTH(nil) -> c(LENGTH(nil))
   ENCODE_LENGTH(cons_active(z0)) -> c(LENGTH(active(encArg(z0))))
   ENCODE_LENGTH(cons_mark(z0)) -> c(LENGTH(mark(encArg(z0))))
   ENCODE_LENGTH(cons_and(z0, z1)) -> c(LENGTH(and(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_isNatIList(z0)) -> c(LENGTH(isNatIList(encArg(z0))))
   ENCODE_LENGTH(cons_isNatList(z0)) -> c(LENGTH(isNatList(encArg(z0))))
   ENCODE_LENGTH(cons_isNat(z0)) -> c(LENGTH(isNat(encArg(z0))))
   ENCODE_LENGTH(cons_s(z0)) -> c(LENGTH(s(encArg(z0))))
   ENCODE_LENGTH(cons_length(z0)) -> c(LENGTH(length(encArg(z0))))
   ENCODE_LENGTH(cons_cons(z0, z1)) -> c(LENGTH(cons(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_take(z0, z1)) -> c(LENGTH(take(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_uTake1(z0)) -> c(LENGTH(uTake1(encArg(z0))))
   ENCODE_LENGTH(cons_uTake2(z0, z1, z2, z3)) -> c(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_LENGTH(cons_uLength(z0, z1)) -> c(LENGTH(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(141) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCODE_LENGTH(0) -> c(LENGTH(0))
   ENCODE_LENGTH(tt) -> c(LENGTH(tt))
   ENCODE_LENGTH(nil) -> c(LENGTH(nil))
   ENCODE_LENGTH(zeros) -> c(LENGTH(zeros))

----------------------------------------

(142)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_active(z0)) -> c(ISNATILIST(active(encArg(z0))))
   ENCODE_ISNATILIST(cons_mark(z0)) -> c(ISNATILIST(mark(encArg(z0))))
   ENCODE_ISNATILIST(cons_and(z0, z1)) -> c(ISNATILIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_isNatIList(z0)) -> c(ISNATILIST(isNatIList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNatList(z0)) -> c(ISNATILIST(isNatList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNat(z0)) -> c(ISNATILIST(isNat(encArg(z0))))
   ENCODE_ISNATILIST(cons_s(z0)) -> c(ISNATILIST(s(encArg(z0))))
   ENCODE_ISNATILIST(cons_length(z0)) -> c(ISNATILIST(length(encArg(z0))))
   ENCODE_ISNATILIST(cons_cons(z0, z1)) -> c(ISNATILIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_take(z0, z1)) -> c(ISNATILIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_uTake1(z0)) -> c(ISNATILIST(uTake1(encArg(z0))))
   ENCODE_ISNATILIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATILIST(cons_uLength(z0, z1)) -> c(ISNATILIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_active(z0)) -> c(ISNATLIST(active(encArg(z0))))
   ENCODE_ISNATLIST(cons_mark(z0)) -> c(ISNATLIST(mark(encArg(z0))))
   ENCODE_ISNATLIST(cons_and(z0, z1)) -> c(ISNATLIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_isNatIList(z0)) -> c(ISNATLIST(isNatIList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNatList(z0)) -> c(ISNATLIST(isNatList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNat(z0)) -> c(ISNATLIST(isNat(encArg(z0))))
   ENCODE_ISNATLIST(cons_s(z0)) -> c(ISNATLIST(s(encArg(z0))))
   ENCODE_ISNATLIST(cons_length(z0)) -> c(ISNATLIST(length(encArg(z0))))
   ENCODE_ISNATLIST(cons_cons(z0, z1)) -> c(ISNATLIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_take(z0, z1)) -> c(ISNATLIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_uTake1(z0)) -> c(ISNATLIST(uTake1(encArg(z0))))
   ENCODE_ISNATLIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATLIST(cons_uLength(z0, z1)) -> c(ISNATLIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_active(z0)) -> c(ISNAT(active(encArg(z0))))
   ENCODE_ISNAT(cons_mark(z0)) -> c(ISNAT(mark(encArg(z0))))
   ENCODE_ISNAT(cons_and(z0, z1)) -> c(ISNAT(and(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNatIList(z0)) -> c(ISNAT(isNatIList(encArg(z0))))
   ENCODE_ISNAT(cons_isNatList(z0)) -> c(ISNAT(isNatList(encArg(z0))))
   ENCODE_ISNAT(cons_isNat(z0)) -> c(ISNAT(isNat(encArg(z0))))
   ENCODE_ISNAT(cons_s(z0)) -> c(ISNAT(s(encArg(z0))))
   ENCODE_ISNAT(cons_length(z0)) -> c(ISNAT(length(encArg(z0))))
   ENCODE_ISNAT(cons_cons(z0, z1)) -> c(ISNAT(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_take(z0, z1)) -> c(ISNAT(take(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_uTake1(z0)) -> c(ISNAT(uTake1(encArg(z0))))
   ENCODE_ISNAT(cons_uTake2(z0, z1, z2, z3)) -> c(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNAT(cons_uLength(z0, z1)) -> c(ISNAT(uLength(encArg(z0), encArg(z1))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_uTake1(z0)) -> c(S(uTake1(encArg(z0))))
   ENCODE_S(cons_uTake2(z0, z1, z2, z3)) -> c(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_uLength(z0, z1)) -> c(S(uLength(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_active(z0)) -> c(LENGTH(active(encArg(z0))))
   ENCODE_LENGTH(cons_mark(z0)) -> c(LENGTH(mark(encArg(z0))))
   ENCODE_LENGTH(cons_and(z0, z1)) -> c(LENGTH(and(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_isNatIList(z0)) -> c(LENGTH(isNatIList(encArg(z0))))
   ENCODE_LENGTH(cons_isNatList(z0)) -> c(LENGTH(isNatList(encArg(z0))))
   ENCODE_LENGTH(cons_isNat(z0)) -> c(LENGTH(isNat(encArg(z0))))
   ENCODE_LENGTH(cons_s(z0)) -> c(LENGTH(s(encArg(z0))))
   ENCODE_LENGTH(cons_length(z0)) -> c(LENGTH(length(encArg(z0))))
   ENCODE_LENGTH(cons_cons(z0, z1)) -> c(LENGTH(cons(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_take(z0, z1)) -> c(LENGTH(take(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_uTake1(z0)) -> c(LENGTH(uTake1(encArg(z0))))
   ENCODE_LENGTH(cons_uTake2(z0, z1, z2, z3)) -> c(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_LENGTH(cons_uLength(z0, z1)) -> c(LENGTH(uLength(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_CONS_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1


----------------------------------------

(143) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) by 
   ENCODE_CONS(x0, tt) -> c(CONS(encArg(x0), tt))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zeros) -> c(CONS(encArg(x0), zeros))
   ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_and(z0, z1)) -> c(CONS(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_isNatIList(z0)) -> c(CONS(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatList(z0)) -> c(CONS(encArg(x0), isNatList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNat(z0)) -> c(CONS(encArg(x0), isNat(encArg(z0))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_length(z0)) -> c(CONS(encArg(x0), length(encArg(z0))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_take(z0, z1)) -> c(CONS(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_uTake1(z0)) -> c(CONS(encArg(x0), uTake1(encArg(z0))))
   ENCODE_CONS(x0, cons_uTake2(z0, z1, z2, z3)) -> c(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_CONS(x0, cons_uLength(z0, z1)) -> c(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_CONS(tt, x1) -> c(CONS(tt, encArg(x1)))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zeros, x1) -> c(CONS(zeros, encArg(x1)))
   ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_and(z0, z1), x1) -> c(CONS(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_isNatIList(z0), x1) -> c(CONS(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatList(z0), x1) -> c(CONS(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNat(z0), x1) -> c(CONS(isNat(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_length(z0), x1) -> c(CONS(length(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_take(z0, z1), x1) -> c(CONS(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_uTake1(z0), x1) -> c(CONS(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_uTake2(z0, z1, z2, z3), x1) -> c(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_CONS(cons_uLength(z0, z1), x1) -> c(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)))

----------------------------------------

(144)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(zeros) -> zeros
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_uTake1(z0)) -> uTake1(encArg(z0))
   encArg(cons_uTake2(z0, z1, z2, z3)) -> uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_uLength(z0, z1)) -> uLength(encArg(z0), encArg(z1))
   active(and(tt, z0)) -> mark(z0)
   active(isNatIList(z0)) -> mark(isNatList(z0))
   active(isNat(0)) -> mark(tt)
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(z0, z1))) -> mark(and(isNat(z0), isNatList(z1)))
   active(isNatList(take(z0, z1))) -> mark(and(isNat(z0), isNatIList(z1)))
   active(zeros) -> mark(cons(0, zeros))
   active(take(0, z0)) -> mark(uTake1(isNatIList(z0)))
   active(uTake1(tt)) -> mark(nil)
   active(take(s(z0), cons(z1, z2))) -> mark(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2))
   active(uTake2(tt, z0, z1, z2)) -> mark(cons(z1, take(z0, z2)))
   active(length(cons(z0, z1))) -> mark(uLength(and(isNat(z0), isNatList(z1)), z1))
   active(uLength(tt, z0)) -> mark(s(length(z0)))
   mark(and(z0, z1)) -> active(and(mark(z0), mark(z1)))
   mark(tt) -> active(tt)
   mark(isNatIList(z0)) -> active(isNatIList(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(nil) -> active(nil)
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(uTake1(z0)) -> active(uTake1(mark(z0)))
   mark(uTake2(z0, z1, z2, z3)) -> active(uTake2(mark(z0), z1, z2, z3))
   mark(uLength(z0, z1)) -> active(uLength(mark(z0), z1))
   and(mark(z0), z1) -> and(z0, z1)
   and(z0, mark(z1)) -> and(z0, z1)
   and(active(z0), z1) -> and(z0, z1)
   and(z0, active(z1)) -> and(z0, z1)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   take(mark(z0), z1) -> take(z0, z1)
   take(z0, mark(z1)) -> take(z0, z1)
   take(active(z0), z1) -> take(z0, z1)
   take(z0, active(z1)) -> take(z0, z1)
   uTake1(mark(z0)) -> uTake1(z0)
   uTake1(active(z0)) -> uTake1(z0)
   uTake2(mark(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, mark(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, mark(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, mark(z3)) -> uTake2(z0, z1, z2, z3)
   uTake2(active(z0), z1, z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, active(z1), z2, z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, active(z2), z3) -> uTake2(z0, z1, z2, z3)
   uTake2(z0, z1, z2, active(z3)) -> uTake2(z0, z1, z2, z3)
   uLength(mark(z0), z1) -> uLength(z0, z1)
   uLength(z0, mark(z1)) -> uLength(z0, z1)
   uLength(active(z0), z1) -> uLength(z0, z1)
   uLength(z0, active(z1)) -> uLength(z0, z1)
Tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_UTAKE1(z0) -> c(UTAKE1(encArg(z0)))
   ENCODE_UTAKE2(z0, z1, z2, z3) -> c(UTAKE2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_ULENGTH(z0, z1) -> c(ULENGTH(encArg(z0), encArg(z1)))
   ENCARG(cons_active(cons_active(z0))) -> c4(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c4(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_s(z0))) -> c4(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_length(z0))) -> c4(ACTIVE(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_uTake1(z0))) -> c4(ACTIVE(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_active(cons_uTake2(z0, z1, z2, z3))) -> c4(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_uLength(z0, z1))) -> c4(ACTIVE(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(cons_active(z0))) -> c5(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c5(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_s(z0))) -> c5(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_length(z0))) -> c5(MARK(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_uTake1(z0))) -> c5(MARK(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_mark(cons_uTake2(z0, z1, z2, z3))) -> c5(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_uLength(z0, z1))) -> c5(MARK(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c6(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c6(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c6(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c6(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c6(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c6(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c6(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c6(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c6(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c6(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_uTake1(z0))) -> c6(AND(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_and(x0, cons_uTake2(z0, z1, z2, z3))) -> c6(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_uLength(z0, z1))) -> c6(AND(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c6(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c6(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c6(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c6(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c6(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c6(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c6(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c6(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c6(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c6(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake1(z0), x1)) -> c6(AND(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_uTake2(z0, z1, z2, z3), x1)) -> c6(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_uLength(z0, z1), x1)) -> c6(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c6(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c6(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, zeros)) -> c6(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c6(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c6(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c6(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(zeros, x1)) -> c6(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c6(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c7(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c7(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c7(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c7(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c7(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c7(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c7(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c7(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c7(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c7(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_uTake1(z0))) -> c7(ISNATILIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatIList(cons_uTake2(z0, z1, z2, z3))) -> c7(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_uLength(z0, z1))) -> c7(ISNATILIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c8(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c8(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c8(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c8(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c8(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c8(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c8(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c8(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c8(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c8(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_uTake1(z0))) -> c8(ISNATLIST(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNatList(cons_uTake2(z0, z1, z2, z3))) -> c8(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_uLength(z0, z1))) -> c8(ISNATLIST(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_isNat(cons_active(z0))) -> c9(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c9(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c9(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c9(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c9(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c9(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_s(z0))) -> c9(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c9(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c9(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c9(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_uTake1(z0))) -> c9(ISNAT(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_isNat(cons_uTake2(z0, z1, z2, z3))) -> c9(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_uLength(z0, z1))) -> c9(ISNAT(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_s(cons_active(z0))) -> c10(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c10(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c10(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c10(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c10(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNat(z0))) -> c10(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_s(z0))) -> c10(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c10(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c10(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c10(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_uTake1(z0))) -> c10(S(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_s(cons_uTake2(z0, z1, z2, z3))) -> c10(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_uLength(z0, z1))) -> c10(S(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_length(cons_active(z0))) -> c11(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c11(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c11(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c11(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c11(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNat(z0))) -> c11(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_s(z0))) -> c11(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c11(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c11(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c11(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_uTake1(z0))) -> c11(LENGTH(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_length(cons_uTake2(z0, z1, z2, z3))) -> c11(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_uLength(z0, z1))) -> c11(LENGTH(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c12(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c12(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c12(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c12(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c12(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c12(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c12(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c12(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c12(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c12(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_uTake1(z0))) -> c12(CONS(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_cons(x0, cons_uTake2(z0, z1, z2, z3))) -> c12(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_uLength(z0, z1))) -> c12(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c12(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c12(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c12(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c12(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c12(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c12(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c12(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c12(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c12(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c12(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake1(z0), x1)) -> c12(CONS(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_uTake2(z0, z1, z2, z3), x1)) -> c12(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_uLength(z0, z1), x1)) -> c12(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(x0, tt)) -> c12(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c12(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zeros)) -> c12(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c12(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(tt, x1)) -> c12(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c12(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zeros, x1)) -> c12(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c12(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(x0, cons_active(z0))) -> c13(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c13(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c13(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c13(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c13(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c13(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c13(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c13(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c13(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c13(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_uTake1(z0))) -> c13(TAKE(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_take(x0, cons_uTake2(z0, z1, z2, z3))) -> c13(TAKE(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_uLength(z0, z1))) -> c13(TAKE(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c13(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c13(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c13(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c13(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c13(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c13(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c13(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c13(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c13(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c13(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake1(z0), x1)) -> c13(TAKE(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_uTake2(z0, z1, z2, z3), x1)) -> c13(TAKE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_uLength(z0, z1), x1)) -> c13(TAKE(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(x0, tt)) -> c13(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c13(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, zeros)) -> c13(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c13(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(tt, x1)) -> c13(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c13(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(zeros, x1)) -> c13(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c13(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uTake1(cons_active(z0))) -> c14(UTAKE1(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake1(cons_mark(z0))) -> c14(UTAKE1(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake1(cons_and(z0, z1))) -> c14(UTAKE1(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake1(cons_isNatIList(z0))) -> c14(UTAKE1(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake1(cons_isNatList(z0))) -> c14(UTAKE1(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake1(cons_isNat(z0))) -> c14(UTAKE1(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake1(cons_s(z0))) -> c14(UTAKE1(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake1(cons_length(z0))) -> c14(UTAKE1(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake1(cons_cons(z0, z1))) -> c14(UTAKE1(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake1(cons_take(z0, z1))) -> c14(UTAKE1(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake1(cons_uTake1(z0))) -> c14(UTAKE1(uTake1(encArg(z0))), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake1(cons_uTake2(z0, z1, z2, z3))) -> c14(UTAKE1(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake1(cons_uLength(z0, z1))) -> c14(UTAKE1(uLength(encArg(z0), encArg(z1))), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_active(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_mark(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_and(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatIList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNatList(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_isNat(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_s(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_length(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_cons(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_take(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake1(z0))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake1(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uTake2(z0, z1, z2, z3))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uTake2(x0, x1, x2, cons_uLength(z0, z1))) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uTake2(x0, x1, cons_active(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_mark(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_and(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatIList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNatList(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_isNat(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_s(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_length(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_cons(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_take(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake1(z0), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake1(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake1(z0)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uTake2(z0, z1, z2, z3), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, cons_uLength(z0, z1), x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), uLength(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_uLength(z0, z1)), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_active(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_mark(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_and(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatIList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNatList(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_isNat(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_s(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_length(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_cons(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_take(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake1(z0), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake1(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake1(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uTake2(z0, z1, z2, z3), x2, x3)) -> c15(UTAKE2(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, cons_uLength(z0, z1), x2, x3)) -> c15(UTAKE2(encArg(x0), uLength(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_uLength(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_active(z0), x1, x2, x3)) -> c15(UTAKE2(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_mark(z0), x1, x2, x3)) -> c15(UTAKE2(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_and(z0, z1), x1, x2, x3)) -> c15(UTAKE2(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatIList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNatList(z0), x1, x2, x3)) -> c15(UTAKE2(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_isNat(z0), x1, x2, x3)) -> c15(UTAKE2(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_s(z0), x1, x2, x3)) -> c15(UTAKE2(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_length(z0), x1, x2, x3)) -> c15(UTAKE2(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_cons(z0, z1), x1, x2, x3)) -> c15(UTAKE2(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_take(z0, z1), x1, x2, x3)) -> c15(UTAKE2(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake1(z0), x1, x2, x3)) -> c15(UTAKE2(uTake1(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake1(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c15(UTAKE2(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(cons_uLength(z0, z1), x1, x2, x3)) -> c15(UTAKE2(uLength(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, x2, tt)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, 0)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, zeros)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, x2, nil)) -> c15(UTAKE2(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_uTake2(x0, x1, tt, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, 0, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, zeros, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, x1, nil, x3)) -> c15(UTAKE2(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_uTake2(x0, tt, x2, x3)) -> c15(UTAKE2(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, 0, x2, x3)) -> c15(UTAKE2(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, zeros, x2, x3)) -> c15(UTAKE2(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(x0, nil, x2, x3)) -> c15(UTAKE2(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(tt, x1, x2, x3)) -> c15(UTAKE2(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(0, x1, x2, x3)) -> c15(UTAKE2(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(zeros, x1, x2, x3)) -> c15(UTAKE2(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uTake2(nil, x1, x2, x3)) -> c15(UTAKE2(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_uLength(x0, cons_active(z0))) -> c16(ULENGTH(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_uLength(x0, cons_mark(z0))) -> c16(ULENGTH(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_uLength(x0, cons_and(z0, z1))) -> c16(ULENGTH(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_uLength(x0, cons_isNatIList(z0))) -> c16(ULENGTH(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_uLength(x0, cons_isNatList(z0))) -> c16(ULENGTH(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_uLength(x0, cons_isNat(z0))) -> c16(ULENGTH(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_uLength(x0, cons_s(z0))) -> c16(ULENGTH(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_uLength(x0, cons_length(z0))) -> c16(ULENGTH(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_uLength(x0, cons_cons(z0, z1))) -> c16(ULENGTH(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_uLength(x0, cons_take(z0, z1))) -> c16(ULENGTH(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_uLength(x0, cons_uTake1(z0))) -> c16(ULENGTH(encArg(x0), uTake1(encArg(z0))), ENCARG(x0), ENCARG(cons_uTake1(z0)))
   ENCARG(cons_uLength(x0, cons_uTake2(z0, z1, z2, z3))) -> c16(ULENGTH(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_uTake2(z0, z1, z2, z3)))
   ENCARG(cons_uLength(x0, cons_uLength(z0, z1))) -> c16(ULENGTH(encArg(x0), uLength(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_uLength(z0, z1)))
   ENCARG(cons_uLength(cons_active(z0), x1)) -> c16(ULENGTH(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_mark(z0), x1)) -> c16(ULENGTH(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_and(z0, z1), x1)) -> c16(ULENGTH(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatIList(z0), x1)) -> c16(ULENGTH(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNatList(z0), x1)) -> c16(ULENGTH(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_isNat(z0), x1)) -> c16(ULENGTH(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_s(z0), x1)) -> c16(ULENGTH(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_length(z0), x1)) -> c16(ULENGTH(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_cons(z0, z1), x1)) -> c16(ULENGTH(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_take(z0, z1), x1)) -> c16(ULENGTH(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake1(z0), x1)) -> c16(ULENGTH(uTake1(encArg(z0)), encArg(x1)), ENCARG(cons_uTake1(z0)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uTake2(z0, z1, z2, z3), x1)) -> c16(ULENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_uTake2(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_uLength(cons_uLength(z0, z1), x1)) -> c16(ULENGTH(uLength(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_uLength(z0, z1)), ENCARG(x1))
   ENCARG(cons_uLength(x0, tt)) -> c16(ULENGTH(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_uLength(x0, 0)) -> c16(ULENGTH(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_uLength(x0, zeros)) -> c16(ULENGTH(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_uLength(x0, nil)) -> c16(ULENGTH(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_uLength(tt, x1)) -> c16(ULENGTH(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(0, x1)) -> c16(ULENGTH(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(zeros, x1)) -> c16(ULENGTH(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_uLength(nil, x1)) -> c16(ULENGTH(nil, encArg(x1)), ENCARG(x1))
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_uTake1(z0)) -> c(ACTIVE(uTake1(encArg(z0))))
   ENCODE_ACTIVE(cons_uTake2(z0, z1, z2, z3)) -> c(ACTIVE(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_uLength(z0, z1)) -> c(ACTIVE(uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, tt) -> c(AND(encArg(x0), tt))
   ENCODE_AND(x0, 0) -> c(AND(encArg(x0), 0))
   ENCODE_AND(x0, zeros) -> c(AND(encArg(x0), zeros))
   ENCODE_AND(x0, nil) -> c(AND(encArg(x0), nil))
   ENCODE_AND(x0, cons_active(z0)) -> c(AND(encArg(x0), active(encArg(z0))))
   ENCODE_AND(x0, cons_mark(z0)) -> c(AND(encArg(x0), mark(encArg(z0))))
   ENCODE_AND(x0, cons_and(z0, z1)) -> c(AND(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_isNatIList(z0)) -> c(AND(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_AND(x0, cons_isNatList(z0)) -> c(AND(encArg(x0), isNatList(encArg(z0))))
   ENCODE_AND(x0, cons_isNat(z0)) -> c(AND(encArg(x0), isNat(encArg(z0))))
   ENCODE_AND(x0, cons_s(z0)) -> c(AND(encArg(x0), s(encArg(z0))))
   ENCODE_AND(x0, cons_length(z0)) -> c(AND(encArg(x0), length(encArg(z0))))
   ENCODE_AND(x0, cons_cons(z0, z1)) -> c(AND(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_take(z0, z1)) -> c(AND(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_AND(x0, cons_uTake1(z0)) -> c(AND(encArg(x0), uTake1(encArg(z0))))
   ENCODE_AND(x0, cons_uTake2(z0, z1, z2, z3)) -> c(AND(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_AND(x0, cons_uLength(z0, z1)) -> c(AND(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_AND(tt, x1) -> c(AND(tt, encArg(x1)))
   ENCODE_AND(0, x1) -> c(AND(0, encArg(x1)))
   ENCODE_AND(zeros, x1) -> c(AND(zeros, encArg(x1)))
   ENCODE_AND(nil, x1) -> c(AND(nil, encArg(x1)))
   ENCODE_AND(cons_active(z0), x1) -> c(AND(active(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_mark(z0), x1) -> c(AND(mark(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_and(z0, z1), x1) -> c(AND(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_isNatIList(z0), x1) -> c(AND(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNatList(z0), x1) -> c(AND(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_isNat(z0), x1) -> c(AND(isNat(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_s(z0), x1) -> c(AND(s(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_length(z0), x1) -> c(AND(length(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_cons(z0, z1), x1) -> c(AND(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_take(z0, z1), x1) -> c(AND(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_AND(cons_uTake1(z0), x1) -> c(AND(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_AND(cons_uTake2(z0, z1, z2, z3), x1) -> c(AND(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_AND(cons_uLength(z0, z1), x1) -> c(AND(uLength(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_uTake1(z0)) -> c(MARK(uTake1(encArg(z0))))
   ENCODE_MARK(cons_uTake2(z0, z1, z2, z3)) -> c(MARK(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_uLength(z0, z1)) -> c(MARK(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_active(z0)) -> c(ISNATILIST(active(encArg(z0))))
   ENCODE_ISNATILIST(cons_mark(z0)) -> c(ISNATILIST(mark(encArg(z0))))
   ENCODE_ISNATILIST(cons_and(z0, z1)) -> c(ISNATILIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_isNatIList(z0)) -> c(ISNATILIST(isNatIList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNatList(z0)) -> c(ISNATILIST(isNatList(encArg(z0))))
   ENCODE_ISNATILIST(cons_isNat(z0)) -> c(ISNATILIST(isNat(encArg(z0))))
   ENCODE_ISNATILIST(cons_s(z0)) -> c(ISNATILIST(s(encArg(z0))))
   ENCODE_ISNATILIST(cons_length(z0)) -> c(ISNATILIST(length(encArg(z0))))
   ENCODE_ISNATILIST(cons_cons(z0, z1)) -> c(ISNATILIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_take(z0, z1)) -> c(ISNATILIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATILIST(cons_uTake1(z0)) -> c(ISNATILIST(uTake1(encArg(z0))))
   ENCODE_ISNATILIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATILIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATILIST(cons_uLength(z0, z1)) -> c(ISNATILIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_active(z0)) -> c(ISNATLIST(active(encArg(z0))))
   ENCODE_ISNATLIST(cons_mark(z0)) -> c(ISNATLIST(mark(encArg(z0))))
   ENCODE_ISNATLIST(cons_and(z0, z1)) -> c(ISNATLIST(and(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_isNatIList(z0)) -> c(ISNATLIST(isNatIList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNatList(z0)) -> c(ISNATLIST(isNatList(encArg(z0))))
   ENCODE_ISNATLIST(cons_isNat(z0)) -> c(ISNATLIST(isNat(encArg(z0))))
   ENCODE_ISNATLIST(cons_s(z0)) -> c(ISNATLIST(s(encArg(z0))))
   ENCODE_ISNATLIST(cons_length(z0)) -> c(ISNATLIST(length(encArg(z0))))
   ENCODE_ISNATLIST(cons_cons(z0, z1)) -> c(ISNATLIST(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_take(z0, z1)) -> c(ISNATLIST(take(encArg(z0), encArg(z1))))
   ENCODE_ISNATLIST(cons_uTake1(z0)) -> c(ISNATLIST(uTake1(encArg(z0))))
   ENCODE_ISNATLIST(cons_uTake2(z0, z1, z2, z3)) -> c(ISNATLIST(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNATLIST(cons_uLength(z0, z1)) -> c(ISNATLIST(uLength(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_active(z0)) -> c(ISNAT(active(encArg(z0))))
   ENCODE_ISNAT(cons_mark(z0)) -> c(ISNAT(mark(encArg(z0))))
   ENCODE_ISNAT(cons_and(z0, z1)) -> c(ISNAT(and(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNatIList(z0)) -> c(ISNAT(isNatIList(encArg(z0))))
   ENCODE_ISNAT(cons_isNatList(z0)) -> c(ISNAT(isNatList(encArg(z0))))
   ENCODE_ISNAT(cons_isNat(z0)) -> c(ISNAT(isNat(encArg(z0))))
   ENCODE_ISNAT(cons_s(z0)) -> c(ISNAT(s(encArg(z0))))
   ENCODE_ISNAT(cons_length(z0)) -> c(ISNAT(length(encArg(z0))))
   ENCODE_ISNAT(cons_cons(z0, z1)) -> c(ISNAT(cons(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_take(z0, z1)) -> c(ISNAT(take(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_uTake1(z0)) -> c(ISNAT(uTake1(encArg(z0))))
   ENCODE_ISNAT(cons_uTake2(z0, z1, z2, z3)) -> c(ISNAT(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ISNAT(cons_uLength(z0, z1)) -> c(ISNAT(uLength(encArg(z0), encArg(z1))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_uTake1(z0)) -> c(S(uTake1(encArg(z0))))
   ENCODE_S(cons_uTake2(z0, z1, z2, z3)) -> c(S(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_uLength(z0, z1)) -> c(S(uLength(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_active(z0)) -> c(LENGTH(active(encArg(z0))))
   ENCODE_LENGTH(cons_mark(z0)) -> c(LENGTH(mark(encArg(z0))))
   ENCODE_LENGTH(cons_and(z0, z1)) -> c(LENGTH(and(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_isNatIList(z0)) -> c(LENGTH(isNatIList(encArg(z0))))
   ENCODE_LENGTH(cons_isNatList(z0)) -> c(LENGTH(isNatList(encArg(z0))))
   ENCODE_LENGTH(cons_isNat(z0)) -> c(LENGTH(isNat(encArg(z0))))
   ENCODE_LENGTH(cons_s(z0)) -> c(LENGTH(s(encArg(z0))))
   ENCODE_LENGTH(cons_length(z0)) -> c(LENGTH(length(encArg(z0))))
   ENCODE_LENGTH(cons_cons(z0, z1)) -> c(LENGTH(cons(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_take(z0, z1)) -> c(LENGTH(take(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_uTake1(z0)) -> c(LENGTH(uTake1(encArg(z0))))
   ENCODE_LENGTH(cons_uTake2(z0, z1, z2, z3)) -> c(LENGTH(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_LENGTH(cons_uLength(z0, z1)) -> c(LENGTH(uLength(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, tt) -> c(CONS(encArg(x0), tt))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zeros) -> c(CONS(encArg(x0), zeros))
   ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_and(z0, z1)) -> c(CONS(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_isNatIList(z0)) -> c(CONS(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatList(z0)) -> c(CONS(encArg(x0), isNatList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNat(z0)) -> c(CONS(encArg(x0), isNat(encArg(z0))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_length(z0)) -> c(CONS(encArg(x0), length(encArg(z0))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_take(z0, z1)) -> c(CONS(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_uTake1(z0)) -> c(CONS(encArg(x0), uTake1(encArg(z0))))
   ENCODE_CONS(x0, cons_uTake2(z0, z1, z2, z3)) -> c(CONS(encArg(x0), uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_CONS(x0, cons_uLength(z0, z1)) -> c(CONS(encArg(x0), uLength(encArg(z0), encArg(z1))))
   ENCODE_CONS(tt, x1) -> c(CONS(tt, encArg(x1)))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zeros, x1) -> c(CONS(zeros, encArg(x1)))
   ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_and(z0, z1), x1) -> c(CONS(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_isNatIList(z0), x1) -> c(CONS(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatList(z0), x1) -> c(CONS(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNat(z0), x1) -> c(CONS(isNat(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_length(z0), x1) -> c(CONS(length(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_take(z0, z1), x1) -> c(CONS(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_uTake1(z0), x1) -> c(CONS(uTake1(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_uTake2(z0, z1, z2, z3), x1) -> c(CONS(uTake2(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_CONS(cons_uLength(z0, z1), x1) -> c(CONS(uLength(encArg(z0), encArg(z1)), encArg(x1)))
S tuples:
   ACTIVE(and(tt, z0)) -> c34(MARK(z0))
   ACTIVE(isNatIList(z0)) -> c35(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(0)) -> c36(MARK(tt))
   ACTIVE(isNat(s(z0))) -> c37(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNat(length(z0))) -> c38(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c39(MARK(tt))
   ACTIVE(isNatList(nil)) -> c41(MARK(tt))
   ACTIVE(uTake1(tt)) -> c46(MARK(nil))
   ACTIVE(uTake2(tt, z0, z1, z2)) -> c48(MARK(cons(z1, take(z0, z2))), CONS(z1, take(z0, z2)), TAKE(z0, z2))
   MARK(isNatIList(z0)) -> c53(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   MARK(isNatList(z0)) -> c54(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNat(z0)) -> c55(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(zeros) -> c59(ACTIVE(zeros))
   AND(mark(z0), z1) -> c66(AND(z0, z1))
   AND(z0, mark(z1)) -> c67(AND(z0, z1))
   AND(active(z0), z1) -> c68(AND(z0, z1))
   AND(z0, active(z1)) -> c69(AND(z0, z1))
   ISNATILIST(mark(z0)) -> c70(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c71(ISNATILIST(z0))
   ISNATLIST(mark(z0)) -> c72(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c73(ISNATLIST(z0))
   ISNAT(mark(z0)) -> c74(ISNAT(z0))
   ISNAT(active(z0)) -> c75(ISNAT(z0))
   S(mark(z0)) -> c76(S(z0))
   S(active(z0)) -> c77(S(z0))
   LENGTH(mark(z0)) -> c78(LENGTH(z0))
   LENGTH(active(z0)) -> c79(LENGTH(z0))
   CONS(mark(z0), z1) -> c80(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c81(CONS(z0, z1))
   CONS(active(z0), z1) -> c82(CONS(z0, z1))
   CONS(z0, active(z1)) -> c83(CONS(z0, z1))
   TAKE(mark(z0), z1) -> c84(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c85(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c86(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c87(TAKE(z0, z1))
   UTAKE1(mark(z0)) -> c88(UTAKE1(z0))
   UTAKE1(active(z0)) -> c89(UTAKE1(z0))
   UTAKE2(mark(z0), z1, z2, z3) -> c90(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, mark(z1), z2, z3) -> c91(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, mark(z2), z3) -> c92(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, mark(z3)) -> c93(UTAKE2(z0, z1, z2, z3))
   UTAKE2(active(z0), z1, z2, z3) -> c94(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, active(z1), z2, z3) -> c95(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, active(z2), z3) -> c96(UTAKE2(z0, z1, z2, z3))
   UTAKE2(z0, z1, z2, active(z3)) -> c97(UTAKE2(z0, z1, z2, z3))
   ULENGTH(mark(z0), z1) -> c98(ULENGTH(z0, z1))
   ULENGTH(z0, mark(z1)) -> c99(ULENGTH(z0, z1))
   ULENGTH(active(z0), z1) -> c100(ULENGTH(z0, z1))
   ULENGTH(z0, active(z1)) -> c101(ULENGTH(z0, z1))
   ACTIVE(isNatIList(cons(z0, z1))) -> c40(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c42(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c43(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(zeros) -> c44(MARK(cons(0, zeros)))
   ACTIVE(take(0, z0)) -> c45(MARK(uTake1(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c47(MARK(uTake2(and(isNat(z0), and(isNat(z1), isNatIList(z2))), z0, z1, z2)), ISNAT(z0), ISNAT(z1), ISNATILIST(z2))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(uLength(and(isNat(z0), isNatList(z1)), z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(uLength(tt, z0)) -> c50(MARK(s(length(z0))), LENGTH(z0))
   MARK(tt) -> c52
   MARK(0) -> c56
   MARK(nil) -> c61
   MARK(and(z0, x1)) -> c51(ACTIVE(and(z0, mark(x1))), AND(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(and(x0, z1)) -> c51(ACTIVE(and(mark(x0), z1)), AND(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(and(x0, and(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(and(mark(z0), mark(z1))))), AND(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(and(x0, tt)) -> c51(ACTIVE(and(mark(x0), active(tt))), AND(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(and(x0, isNatIList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatIList(z0)))), AND(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(and(x0, isNatList(z0))) -> c51(ACTIVE(and(mark(x0), active(isNatList(z0)))), AND(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(and(x0, isNat(z0))) -> c51(ACTIVE(and(mark(x0), active(isNat(z0)))), AND(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(and(x0, 0)) -> c51(ACTIVE(and(mark(x0), active(0))), AND(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(and(x0, s(z0))) -> c51(ACTIVE(and(mark(x0), active(s(mark(z0))))), AND(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(and(x0, length(z0))) -> c51(ACTIVE(and(mark(x0), active(length(mark(z0))))), AND(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(and(x0, zeros)) -> c51(ACTIVE(and(mark(x0), active(zeros))), AND(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(and(x0, cons(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(cons(mark(z0), z1)))), AND(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(and(x0, nil)) -> c51(ACTIVE(and(mark(x0), active(nil))), AND(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(and(x0, take(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(take(mark(z0), mark(z1))))), AND(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(and(x0, uTake1(z0))) -> c51(ACTIVE(and(mark(x0), active(uTake1(mark(z0))))), AND(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(and(x0, uTake2(z0, z1, z2, z3))) -> c51(ACTIVE(and(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), AND(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(and(x0, uLength(z0, z1))) -> c51(ACTIVE(and(mark(x0), active(uLength(mark(z0), z1)))), AND(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c51(ACTIVE(and(active(and(mark(z0), mark(z1))), mark(x1))), AND(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(and(tt, x1)) -> c51(ACTIVE(and(active(tt), mark(x1))), AND(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(and(isNatIList(z0), x1)) -> c51(ACTIVE(and(active(isNatIList(z0)), mark(x1))), AND(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(and(isNatList(z0), x1)) -> c51(ACTIVE(and(active(isNatList(z0)), mark(x1))), AND(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(and(isNat(z0), x1)) -> c51(ACTIVE(and(active(isNat(z0)), mark(x1))), AND(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(and(0, x1)) -> c51(ACTIVE(and(active(0), mark(x1))), AND(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(and(s(z0), x1)) -> c51(ACTIVE(and(active(s(mark(z0))), mark(x1))), AND(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(and(length(z0), x1)) -> c51(ACTIVE(and(active(length(mark(z0))), mark(x1))), AND(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(and(zeros, x1)) -> c51(ACTIVE(and(active(zeros), mark(x1))), AND(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(and(cons(z0, z1), x1)) -> c51(ACTIVE(and(active(cons(mark(z0), z1)), mark(x1))), AND(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(and(nil, x1)) -> c51(ACTIVE(and(active(nil), mark(x1))), AND(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(and(take(z0, z1), x1)) -> c51(ACTIVE(and(active(take(mark(z0), mark(z1))), mark(x1))), AND(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(and(uTake1(z0), x1)) -> c51(ACTIVE(and(active(uTake1(mark(z0))), mark(x1))), AND(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(and(uTake2(z0, z1, z2, z3), x1)) -> c51(ACTIVE(and(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), AND(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(and(uLength(z0, z1), x1)) -> c51(ACTIVE(and(active(uLength(mark(z0), z1)), mark(x1))), AND(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(s(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), mark(z1))))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(length(z0))) -> c57(ACTIVE(s(active(length(mark(z0))))), S(mark(length(z0))), MARK(length(z0)))
   MARK(s(zeros)) -> c57(ACTIVE(s(active(zeros))), S(mark(zeros)), MARK(zeros))
   MARK(s(cons(z0, z1))) -> c57(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(take(z0, z1))) -> c57(ACTIVE(s(active(take(mark(z0), mark(z1))))), S(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(s(uTake1(z0))) -> c57(ACTIVE(s(active(uTake1(mark(z0))))), S(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(s(uTake2(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(uTake2(mark(z0), z1, z2, z3)))), S(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(s(uLength(z0, z1))) -> c57(ACTIVE(s(active(uLength(mark(z0), z1)))), S(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(z0))
   MARK(length(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), mark(z1))))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(s(z0))) -> c58(ACTIVE(length(active(s(mark(z0))))), LENGTH(mark(s(z0))), MARK(s(z0)))
   MARK(length(length(z0))) -> c58(ACTIVE(length(active(length(mark(z0))))), LENGTH(mark(length(z0))), MARK(length(z0)))
   MARK(length(zeros)) -> c58(ACTIVE(length(active(zeros))), LENGTH(mark(zeros)), MARK(zeros))
   MARK(length(cons(z0, z1))) -> c58(ACTIVE(length(active(cons(mark(z0), z1)))), LENGTH(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(take(z0, z1))) -> c58(ACTIVE(length(active(take(mark(z0), mark(z1))))), LENGTH(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(length(uTake1(z0))) -> c58(ACTIVE(length(active(uTake1(mark(z0))))), LENGTH(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(length(uTake2(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(uTake2(mark(z0), z1, z2, z3)))), LENGTH(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(length(uLength(z0, z1))) -> c58(ACTIVE(length(active(uLength(mark(z0), z1)))), LENGTH(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c60(ACTIVE(cons(active(and(mark(z0), mark(z1))), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(tt, x1)) -> c60(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(isNatIList(z0), x1)) -> c60(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(isNatList(z0), x1)) -> c60(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNat(z0), x1)) -> c60(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(0, x1)) -> c60(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c60(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c60(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(zeros, x1)) -> c60(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c60(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(nil, x1)) -> c60(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(take(z0, z1), x1)) -> c60(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(uTake1(z0), x1)) -> c60(ACTIVE(cons(active(uTake1(mark(z0))), x1)), CONS(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(cons(uTake2(z0, z1, z2, z3), x1)) -> c60(ACTIVE(cons(active(uTake2(mark(z0), z1, z2, z3)), x1)), CONS(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(cons(uLength(z0, z1), x1)) -> c60(ACTIVE(cons(active(uLength(mark(z0), z1)), x1)), CONS(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(cons(x0, x1)) -> c60(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c60(CONS(mark(z0), z1), MARK(z0))
   MARK(take(z0, x1)) -> c62(ACTIVE(take(z0, mark(x1))), TAKE(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(take(x0, z1)) -> c62(ACTIVE(take(mark(x0), z1)), TAKE(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(take(x0, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), mark(z1))))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(take(x0, tt)) -> c62(ACTIVE(take(mark(x0), active(tt))), TAKE(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(take(x0, isNatIList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatIList(z0)))), TAKE(mark(x0), mark(isNatIList(z0))), MARK(x0), MARK(isNatIList(z0)))
   MARK(take(x0, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   MARK(take(x0, isNat(z0))) -> c62(ACTIVE(take(mark(x0), active(isNat(z0)))), TAKE(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(take(x0, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, s(z0))) -> c62(ACTIVE(take(mark(x0), active(s(mark(z0))))), TAKE(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(take(x0, length(z0))) -> c62(ACTIVE(take(mark(x0), active(length(mark(z0))))), TAKE(mark(x0), mark(length(z0))), MARK(x0), MARK(length(z0)))
   MARK(take(x0, zeros)) -> c62(ACTIVE(take(mark(x0), active(zeros))), TAKE(mark(x0), mark(zeros)), MARK(x0), MARK(zeros))
   MARK(take(x0, cons(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(cons(mark(z0), z1)))), TAKE(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, take(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(take(mark(z0), mark(z1))))), TAKE(mark(x0), mark(take(z0, z1))), MARK(x0), MARK(take(z0, z1)))
   MARK(take(x0, uTake1(z0))) -> c62(ACTIVE(take(mark(x0), active(uTake1(mark(z0))))), TAKE(mark(x0), mark(uTake1(z0))), MARK(x0), MARK(uTake1(z0)))
   MARK(take(x0, uTake2(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(uTake2(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(uTake2(z0, z1, z2, z3))), MARK(x0), MARK(uTake2(z0, z1, z2, z3)))
   MARK(take(x0, uLength(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(uLength(mark(z0), z1)))), TAKE(mark(x0), mark(uLength(z0, z1))), MARK(x0), MARK(uLength(z0, z1)))
   MARK(take(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), mark(z1))), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(take(tt, x1)) -> c62(ACTIVE(take(active(tt), mark(x1))), TAKE(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(take(isNatIList(z0), x1)) -> c62(ACTIVE(take(active(isNatIList(z0)), mark(x1))), TAKE(mark(isNatIList(z0)), mark(x1)), MARK(isNatIList(z0)), MARK(x1))
   MARK(take(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), MARK(x1))
   MARK(take(isNat(z0), x1)) -> c62(ACTIVE(take(active(isNat(z0)), mark(x1))), TAKE(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(take(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(s(z0), x1)) -> c62(ACTIVE(take(active(s(mark(z0))), mark(x1))), TAKE(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(take(length(z0), x1)) -> c62(ACTIVE(take(active(length(mark(z0))), mark(x1))), TAKE(mark(length(z0)), mark(x1)), MARK(length(z0)), MARK(x1))
   MARK(take(zeros, x1)) -> c62(ACTIVE(take(active(zeros), mark(x1))), TAKE(mark(zeros), mark(x1)), MARK(zeros), MARK(x1))
   MARK(take(cons(z0, z1), x1)) -> c62(ACTIVE(take(active(cons(mark(z0), z1)), mark(x1))), TAKE(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(take(z0, z1), x1)) -> c62(ACTIVE(take(active(take(mark(z0), mark(z1))), mark(x1))), TAKE(mark(take(z0, z1)), mark(x1)), MARK(take(z0, z1)), MARK(x1))
   MARK(take(uTake1(z0), x1)) -> c62(ACTIVE(take(active(uTake1(mark(z0))), mark(x1))), TAKE(mark(uTake1(z0)), mark(x1)), MARK(uTake1(z0)), MARK(x1))
   MARK(take(uTake2(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(uTake2(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(uTake2(z0, z1, z2, z3)), mark(x1)), MARK(uTake2(z0, z1, z2, z3)), MARK(x1))
   MARK(take(uLength(z0, z1), x1)) -> c62(ACTIVE(take(active(uLength(mark(z0), z1)), mark(x1))), TAKE(mark(uLength(z0, z1)), mark(x1)), MARK(uLength(z0, z1)), MARK(x1))
   MARK(uTake1(z0)) -> c63(ACTIVE(uTake1(z0)), UTAKE1(mark(z0)), MARK(z0))
   MARK(uTake1(and(z0, z1))) -> c63(ACTIVE(uTake1(active(and(mark(z0), mark(z1))))), UTAKE1(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(uTake1(tt)) -> c63(ACTIVE(uTake1(active(tt))), UTAKE1(mark(tt)), MARK(tt))
   MARK(uTake1(isNatIList(z0))) -> c63(ACTIVE(uTake1(active(isNatIList(z0)))), UTAKE1(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(uTake1(isNatList(z0))) -> c63(ACTIVE(uTake1(active(isNatList(z0)))), UTAKE1(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(uTake1(isNat(z0))) -> c63(ACTIVE(uTake1(active(isNat(z0)))), UTAKE1(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(uTake1(0)) -> c63(ACTIVE(uTake1(active(0))), UTAKE1(mark(0)), MARK(0))
   MARK(uTake1(s(z0))) -> c63(ACTIVE(uTake1(active(s(mark(z0))))), UTAKE1(mark(s(z0))), MARK(s(z0)))
   MARK(uTake1(length(z0))) -> c63(ACTIVE(uTake1(active(length(mark(z0))))), UTAKE1(mark(length(z0))), MARK(length(z0)))
   MARK(uTake1(zeros)) -> c63(ACTIVE(uTake1(active(zeros))), UTAKE1(mark(zeros)), MARK(zeros))
   MARK(uTake1(cons(z0, z1))) -> c63(ACTIVE(uTake1(active(cons(mark(z0), z1)))), UTAKE1(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(uTake1(nil)) -> c63(ACTIVE(uTake1(active(nil))), UTAKE1(mark(nil)), MARK(nil))
   MARK(uTake1(take(z0, z1))) -> c63(ACTIVE(uTake1(active(take(mark(z0), mark(z1))))), UTAKE1(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(uTake1(uTake1(z0))) -> c63(ACTIVE(uTake1(active(uTake1(mark(z0))))), UTAKE1(mark(uTake1(z0))), MARK(uTake1(z0)))
   MARK(uTake1(uTake2(z0, z1, z2, z3))) -> c63(ACTIVE(uTake1(active(uTake2(mark(z0), z1, z2, z3)))), UTAKE1(mark(uTake2(z0, z1, z2, z3))), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake1(uLength(z0, z1))) -> c63(ACTIVE(uTake1(active(uLength(mark(z0), z1)))), UTAKE1(mark(uLength(z0, z1))), MARK(uLength(z0, z1)))
   MARK(uTake2(z0, z1, z2, z3)) -> c64(ACTIVE(uTake2(z0, z1, z2, z3)), UTAKE2(mark(z0), z1, z2, z3), MARK(z0))
   MARK(uTake2(and(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(and(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(uTake2(tt, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(tt), x1, x2, x3)), UTAKE2(mark(tt), x1, x2, x3), MARK(tt))
   MARK(uTake2(isNatIList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatIList(z0)), x1, x2, x3)), UTAKE2(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(uTake2(isNatList(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNatList(z0)), x1, x2, x3)), UTAKE2(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(uTake2(isNat(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(isNat(z0)), x1, x2, x3)), UTAKE2(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(uTake2(0, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(0), x1, x2, x3)), UTAKE2(mark(0), x1, x2, x3), MARK(0))
   MARK(uTake2(s(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(s(mark(z0))), x1, x2, x3)), UTAKE2(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(uTake2(length(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(length(mark(z0))), x1, x2, x3)), UTAKE2(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(uTake2(zeros, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(zeros), x1, x2, x3)), UTAKE2(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(uTake2(cons(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(cons(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(uTake2(nil, x1, x2, x3)) -> c64(ACTIVE(uTake2(active(nil), x1, x2, x3)), UTAKE2(mark(nil), x1, x2, x3), MARK(nil))
   MARK(uTake2(take(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(take(mark(z0), mark(z1))), x1, x2, x3)), UTAKE2(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(uTake2(uTake1(z0), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake1(mark(z0))), x1, x2, x3)), UTAKE2(mark(uTake1(z0)), x1, x2, x3), MARK(uTake1(z0)))
   MARK(uTake2(uTake2(z0, z1, z2, z3), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uTake2(mark(z0), z1, z2, z3)), x1, x2, x3)), UTAKE2(mark(uTake2(z0, z1, z2, z3)), x1, x2, x3), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uTake2(uLength(z0, z1), x1, x2, x3)) -> c64(ACTIVE(uTake2(active(uLength(mark(z0), z1)), x1, x2, x3)), UTAKE2(mark(uLength(z0, z1)), x1, x2, x3), MARK(uLength(z0, z1)))
   MARK(uTake2(x0, x1, x2, x3)) -> c64(UTAKE2(mark(x0), x1, x2, x3))
   MARK(uLength(z0, z1)) -> c65(ACTIVE(uLength(z0, z1)), ULENGTH(mark(z0), z1), MARK(z0))
   MARK(uLength(and(z0, z1), x1)) -> c65(ACTIVE(uLength(active(and(mark(z0), mark(z1))), x1)), ULENGTH(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(uLength(tt, x1)) -> c65(ACTIVE(uLength(active(tt), x1)), ULENGTH(mark(tt), x1), MARK(tt))
   MARK(uLength(isNatIList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatIList(z0)), x1)), ULENGTH(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(uLength(isNatList(z0), x1)) -> c65(ACTIVE(uLength(active(isNatList(z0)), x1)), ULENGTH(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(uLength(isNat(z0), x1)) -> c65(ACTIVE(uLength(active(isNat(z0)), x1)), ULENGTH(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(uLength(0, x1)) -> c65(ACTIVE(uLength(active(0), x1)), ULENGTH(mark(0), x1), MARK(0))
   MARK(uLength(s(z0), x1)) -> c65(ACTIVE(uLength(active(s(mark(z0))), x1)), ULENGTH(mark(s(z0)), x1), MARK(s(z0)))
   MARK(uLength(length(z0), x1)) -> c65(ACTIVE(uLength(active(length(mark(z0))), x1)), ULENGTH(mark(length(z0)), x1), MARK(length(z0)))
   MARK(uLength(zeros, x1)) -> c65(ACTIVE(uLength(active(zeros), x1)), ULENGTH(mark(zeros), x1), MARK(zeros))
   MARK(uLength(cons(z0, z1), x1)) -> c65(ACTIVE(uLength(active(cons(mark(z0), z1)), x1)), ULENGTH(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(uLength(nil, x1)) -> c65(ACTIVE(uLength(active(nil), x1)), ULENGTH(mark(nil), x1), MARK(nil))
   MARK(uLength(take(z0, z1), x1)) -> c65(ACTIVE(uLength(active(take(mark(z0), mark(z1))), x1)), ULENGTH(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(uLength(uTake1(z0), x1)) -> c65(ACTIVE(uLength(active(uTake1(mark(z0))), x1)), ULENGTH(mark(uTake1(z0)), x1), MARK(uTake1(z0)))
   MARK(uLength(uTake2(z0, z1, z2, z3), x1)) -> c65(ACTIVE(uLength(active(uTake2(mark(z0), z1, z2, z3)), x1)), ULENGTH(mark(uTake2(z0, z1, z2, z3)), x1), MARK(uTake2(z0, z1, z2, z3)))
   MARK(uLength(uLength(z0, z1), x1)) -> c65(ACTIVE(uLength(active(uLength(mark(z0), z1)), x1)), ULENGTH(mark(uLength(z0, z1)), x1), MARK(uLength(z0, z1)))
   MARK(uLength(x0, x1)) -> c65(ULENGTH(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, and_2, isNatIList_1, isNatList_1, isNat_1, s_1, length_1, cons_2, take_2, uTake1_1, uTake2_4, uLength_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, AND_2, ISNATILIST_1, ISNATLIST_1, ISNAT_1, S_1, LENGTH_1, CONS_2, TAKE_2, UTAKE1_1, UTAKE2_4, ULENGTH_2, ENCODE_TAKE_2, ENCODE_UTAKE1_1, ENCODE_UTAKE2_4, ENCODE_ULENGTH_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_AND_2, ENCODE_MARK_1, ENCODE_ISNATILIST_1, ENCODE_ISNATLIST_1, ENCODE_ISNAT_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_CONS_2

Compound Symbols:   c34_1, c35_2, c36_1, c37_2, c38_2, c39_1, c41_1, c46_1, c48_3, c53_2, c54_2, c55_2, c59_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c40_3, c42_3, c43_3, c44_1, c45_2, c47_4, c49_3, c50_2, c52, c56, c61, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_3, c12_2, c13_3, c13_2, c14_2, c15_5, c15_4, c16_3, c16_2, c51_4, c57_3, c57_2, c58_3, c60_3, c60_1, c60_2, c62_4, c63_3, c64_3, c64_1, c65_3, c65_1