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


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


KILLED
proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 553 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
(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), 0 ms]
    (22) CpxTypedWeightedCompleteTrs
    (23) CompletionProof [UPPER BOUND(ID), 0 ms]
    (24) CpxTypedWeightedCompleteTrs
        (25) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 3 ms]
        (26) CpxRNTS
(27) CpxTrsToCdtProof [UPPER BOUND(ID), 36 ms]
(28) CdtProblem
    (29) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (30) CdtProblem
    (31) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (32) CdtProblem
    (33) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (34) CdtProblem
    (35) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (36) CdtProblem
    (37) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 97 ms]
    (38) CdtProblem
    (39) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 36 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), 33 ms]
    (46) CdtProblem
    (47) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (48) CdtProblem
    (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 72 ms]
    (50) CdtProblem
    (51) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (52) CdtProblem
    (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 94 ms]
    (54) CdtProblem
    (55) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 7 ms]
    (56) CdtProblem
    (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 33 ms]
    (58) CdtProblem
    (59) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (60) CdtProblem
    (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 44 ms]
    (62) CdtProblem
    (63) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (64) CdtProblem
    (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 49 ms]
    (66) CdtProblem
    (67) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (68) CdtProblem
    (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 520 ms]
    (70) CdtProblem
    (71) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 133 ms]
    (72) CdtProblem
    (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 256 ms]
    (74) CdtProblem
    (75) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 41 ms]
    (76) CdtProblem
    (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 287 ms]
    (78) CdtProblem
    (79) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 76 ms]
    (80) CdtProblem
    (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 113 ms]
    (82) CdtProblem
    (83) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 40 ms]
    (84) CdtProblem
    (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 129 ms]
    (86) CdtProblem
    (87) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 37 ms]
    (88) CdtProblem
    (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 127 ms]
    (90) CdtProblem
    (91) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 28 ms]
    (92) CdtProblem
    (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 32 ms]
    (94) CdtProblem
    (95) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 14 ms]
    (96) CdtProblem
    (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 61 ms]
    (98) CdtProblem
    (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 43 ms]
    (100) CdtProblem
    (101) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 9 ms]
    (102) CdtProblem
    (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 56 ms]
    (104) CdtProblem
    (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 81 ms]
    (106) CdtProblem
    (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 87 ms]
    (108) CdtProblem
    (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 133 ms]
    (110) CdtProblem
    (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 68 ms]
    (112) CdtProblem
    (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 47 ms]
    (114) CdtProblem
    (115) CdtLeafRemovalProof [ComplexityIfPolyImplication, 20 ms]
    (116) CdtProblem
    (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 65 ms]
    (118) CdtProblem
    (119) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (120) CdtProblem
    (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 41 ms]
    (122) CdtProblem
    (123) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 56 ms]
    (124) CdtProblem
    (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 17 ms]
    (126) CdtProblem
    (127) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 45 ms]
    (128) CdtProblem
    (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 53 ms]
    (130) CdtProblem
    (131) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 23 ms]
    (132) CdtProblem
    (133) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 53 ms]
    (134) CdtProblem
    (135) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 36 ms]
    (136) CdtProblem
    (137) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 46 ms]
    (138) CdtProblem
    (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 36 ms]
    (140) 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(zeros) -> mark(cons(0, zeros))
   active(U11(tt, L)) -> mark(s(length(L)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, IL, M, N)) -> mark(cons(N, take(M, IL)))
   active(and(tt, X)) -> mark(X)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(V1))) -> mark(isNatList(V1))
   active(isNat(s(V1))) -> mark(isNat(V1))
   active(isNatIList(V)) -> mark(isNatList(V))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(V1, V2))) -> mark(and(isNat(V1), isNatList(V2)))
   active(isNatList(take(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(length(nil)) -> mark(0)
   active(length(cons(N, L))) -> mark(U11(and(isNatList(L), isNat(N)), L))
   active(take(0, IL)) -> mark(U21(isNatIList(IL)))
   active(take(s(M), cons(N, IL))) -> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N))
   mark(zeros) -> active(zeros)
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(0) -> active(0)
   mark(U11(X1, X2)) -> active(U11(mark(X1), X2))
   mark(tt) -> active(tt)
   mark(s(X)) -> active(s(mark(X)))
   mark(length(X)) -> active(length(mark(X)))
   mark(U21(X)) -> active(U21(mark(X)))
   mark(nil) -> active(nil)
   mark(U31(X1, X2, X3, X4)) -> active(U31(mark(X1), X2, X3, X4))
   mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   mark(and(X1, X2)) -> active(and(mark(X1), X2))
   mark(isNat(X)) -> active(isNat(X))
   mark(isNatList(X)) -> active(isNatList(X))
   mark(isNatIList(X)) -> active(isNatIList(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)
   U11(mark(X1), X2) -> U11(X1, X2)
   U11(X1, mark(X2)) -> U11(X1, X2)
   U11(active(X1), X2) -> U11(X1, X2)
   U11(X1, active(X2)) -> U11(X1, X2)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   length(mark(X)) -> length(X)
   length(active(X)) -> length(X)
   U21(mark(X)) -> U21(X)
   U21(active(X)) -> U21(X)
   U31(mark(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, mark(X2), X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, mark(X3), X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, X3, mark(X4)) -> U31(X1, X2, X3, X4)
   U31(active(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, active(X2), X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, active(X3), X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, X3, active(X4)) -> U31(X1, X2, X3, X4)
   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)
   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)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   isNatList(mark(X)) -> isNatList(X)
   isNatList(active(X)) -> isNatList(X)
   isNatIList(mark(X)) -> isNatIList(X)
   isNatIList(active(X)) -> isNatIList(X)

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(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_U11(x_1, x_2)) -> U11(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_U21(x_1)) -> U21(encArg(x_1))
   encArg(cons_U31(x_1, x_2, x_3, x_4)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_zeros -> zeros
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_U21(x_1) -> U21(encArg(x_1))
   encode_nil -> nil
   encode_U31(x_1, x_2, x_3, x_4) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))


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

(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(zeros) -> mark(cons(0, zeros))
   active(U11(tt, L)) -> mark(s(length(L)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, IL, M, N)) -> mark(cons(N, take(M, IL)))
   active(and(tt, X)) -> mark(X)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(V1))) -> mark(isNatList(V1))
   active(isNat(s(V1))) -> mark(isNat(V1))
   active(isNatIList(V)) -> mark(isNatList(V))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(V1, V2))) -> mark(and(isNat(V1), isNatList(V2)))
   active(isNatList(take(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(length(nil)) -> mark(0)
   active(length(cons(N, L))) -> mark(U11(and(isNatList(L), isNat(N)), L))
   active(take(0, IL)) -> mark(U21(isNatIList(IL)))
   active(take(s(M), cons(N, IL))) -> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N))
   mark(zeros) -> active(zeros)
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(0) -> active(0)
   mark(U11(X1, X2)) -> active(U11(mark(X1), X2))
   mark(tt) -> active(tt)
   mark(s(X)) -> active(s(mark(X)))
   mark(length(X)) -> active(length(mark(X)))
   mark(U21(X)) -> active(U21(mark(X)))
   mark(nil) -> active(nil)
   mark(U31(X1, X2, X3, X4)) -> active(U31(mark(X1), X2, X3, X4))
   mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   mark(and(X1, X2)) -> active(and(mark(X1), X2))
   mark(isNat(X)) -> active(isNat(X))
   mark(isNatList(X)) -> active(isNatList(X))
   mark(isNatIList(X)) -> active(isNatIList(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)
   U11(mark(X1), X2) -> U11(X1, X2)
   U11(X1, mark(X2)) -> U11(X1, X2)
   U11(active(X1), X2) -> U11(X1, X2)
   U11(X1, active(X2)) -> U11(X1, X2)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   length(mark(X)) -> length(X)
   length(active(X)) -> length(X)
   U21(mark(X)) -> U21(X)
   U21(active(X)) -> U21(X)
   U31(mark(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, mark(X2), X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, mark(X3), X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, X3, mark(X4)) -> U31(X1, X2, X3, X4)
   U31(active(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, active(X2), X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, active(X3), X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, X3, active(X4)) -> U31(X1, X2, X3, X4)
   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)
   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)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   isNatList(mark(X)) -> isNatList(X)
   isNatList(active(X)) -> isNatList(X)
   isNatIList(mark(X)) -> isNatIList(X)
   isNatIList(active(X)) -> isNatIList(X)

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

   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_U11(x_1, x_2)) -> U11(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_U21(x_1)) -> U21(encArg(x_1))
   encArg(cons_U31(x_1, x_2, x_3, x_4)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_zeros -> zeros
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_U21(x_1) -> U21(encArg(x_1))
   encode_nil -> nil
   encode_U31(x_1, x_2, x_3, x_4) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))

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(zeros) -> mark(cons(0, zeros))
   active(U11(tt, L)) -> mark(s(length(L)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, IL, M, N)) -> mark(cons(N, take(M, IL)))
   active(and(tt, X)) -> mark(X)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(V1))) -> mark(isNatList(V1))
   active(isNat(s(V1))) -> mark(isNat(V1))
   active(isNatIList(V)) -> mark(isNatList(V))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(V1, V2))) -> mark(and(isNat(V1), isNatList(V2)))
   active(isNatList(take(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(length(nil)) -> mark(0)
   active(length(cons(N, L))) -> mark(U11(and(isNatList(L), isNat(N)), L))
   active(take(0, IL)) -> mark(U21(isNatIList(IL)))
   active(take(s(M), cons(N, IL))) -> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N))
   mark(zeros) -> active(zeros)
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(0) -> active(0)
   mark(U11(X1, X2)) -> active(U11(mark(X1), X2))
   mark(tt) -> active(tt)
   mark(s(X)) -> active(s(mark(X)))
   mark(length(X)) -> active(length(mark(X)))
   mark(U21(X)) -> active(U21(mark(X)))
   mark(nil) -> active(nil)
   mark(U31(X1, X2, X3, X4)) -> active(U31(mark(X1), X2, X3, X4))
   mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   mark(and(X1, X2)) -> active(and(mark(X1), X2))
   mark(isNat(X)) -> active(isNat(X))
   mark(isNatList(X)) -> active(isNatList(X))
   mark(isNatIList(X)) -> active(isNatIList(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)
   U11(mark(X1), X2) -> U11(X1, X2)
   U11(X1, mark(X2)) -> U11(X1, X2)
   U11(active(X1), X2) -> U11(X1, X2)
   U11(X1, active(X2)) -> U11(X1, X2)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   length(mark(X)) -> length(X)
   length(active(X)) -> length(X)
   U21(mark(X)) -> U21(X)
   U21(active(X)) -> U21(X)
   U31(mark(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, mark(X2), X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, mark(X3), X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, X3, mark(X4)) -> U31(X1, X2, X3, X4)
   U31(active(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, active(X2), X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, active(X3), X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, X3, active(X4)) -> U31(X1, X2, X3, X4)
   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)
   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)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   isNatList(mark(X)) -> isNatList(X)
   isNatList(active(X)) -> isNatList(X)
   isNatIList(mark(X)) -> isNatIList(X)
   isNatIList(active(X)) -> isNatIList(X)

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

   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_U11(x_1, x_2)) -> U11(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_U21(x_1)) -> U21(encArg(x_1))
   encArg(cons_U31(x_1, x_2, x_3, x_4)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_zeros -> zeros
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_U21(x_1) -> U21(encArg(x_1))
   encode_nil -> nil
   encode_U31(x_1, x_2, x_3, x_4) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))

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

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

(6)
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(zeros) -> mark(cons(0, zeros))
   active(U11(tt, L)) -> mark(s(length(L)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, IL, M, N)) -> mark(cons(N, take(M, IL)))
   active(and(tt, X)) -> mark(X)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(V1))) -> mark(isNatList(V1))
   active(isNat(s(V1))) -> mark(isNat(V1))
   active(isNatIList(V)) -> mark(isNatList(V))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(V1, V2))) -> mark(and(isNat(V1), isNatList(V2)))
   active(isNatList(take(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(length(nil)) -> mark(0)
   active(length(cons(N, L))) -> mark(U11(and(isNatList(L), isNat(N)), L))
   active(take(0, IL)) -> mark(U21(isNatIList(IL)))
   active(take(s(M), cons(N, IL))) -> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N))
   mark(zeros) -> active(zeros)
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(0) -> active(0)
   mark(U11(X1, X2)) -> active(U11(mark(X1), X2))
   mark(tt) -> active(tt)
   mark(s(X)) -> active(s(mark(X)))
   mark(length(X)) -> active(length(mark(X)))
   mark(U21(X)) -> active(U21(mark(X)))
   mark(nil) -> active(nil)
   mark(U31(X1, X2, X3, X4)) -> active(U31(mark(X1), X2, X3, X4))
   mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   mark(and(X1, X2)) -> active(and(mark(X1), X2))
   mark(isNat(X)) -> active(isNat(X))
   mark(isNatList(X)) -> active(isNatList(X))
   mark(isNatIList(X)) -> active(isNatIList(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)
   U11(mark(X1), X2) -> U11(X1, X2)
   U11(X1, mark(X2)) -> U11(X1, X2)
   U11(active(X1), X2) -> U11(X1, X2)
   U11(X1, active(X2)) -> U11(X1, X2)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   length(mark(X)) -> length(X)
   length(active(X)) -> length(X)
   U21(mark(X)) -> U21(X)
   U21(active(X)) -> U21(X)
   U31(mark(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, mark(X2), X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, mark(X3), X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, X3, mark(X4)) -> U31(X1, X2, X3, X4)
   U31(active(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, active(X2), X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, active(X3), X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, X3, active(X4)) -> U31(X1, X2, X3, X4)
   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)
   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)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   isNatList(mark(X)) -> isNatList(X)
   isNatList(active(X)) -> isNatList(X)
   isNatIList(mark(X)) -> isNatIList(X)
   isNatIList(active(X)) -> isNatIList(X)

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

   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_U11(x_1, x_2)) -> U11(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_U21(x_1)) -> U21(encArg(x_1))
   encArg(cons_U31(x_1, x_2, x_3, x_4)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_zeros -> zeros
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_U21(x_1) -> U21(encArg(x_1))
   encode_nil -> nil
   encode_U31(x_1, x_2, x_3, x_4) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))

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

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

(8)
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))
   active(U11(tt, L)) -> mark(s(length(L)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, IL, M, N)) -> mark(cons(N, take(M, IL)))
   active(and(tt, X)) -> mark(X)
   active(isNat(0')) -> mark(tt)
   active(isNat(length(V1))) -> mark(isNatList(V1))
   active(isNat(s(V1))) -> mark(isNat(V1))
   active(isNatIList(V)) -> mark(isNatList(V))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(V1, V2))) -> mark(and(isNat(V1), isNatList(V2)))
   active(isNatList(take(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(length(nil)) -> mark(0')
   active(length(cons(N, L))) -> mark(U11(and(isNatList(L), isNat(N)), L))
   active(take(0', IL)) -> mark(U21(isNatIList(IL)))
   active(take(s(M), cons(N, IL))) -> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N))
   mark(zeros) -> active(zeros)
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(0') -> active(0')
   mark(U11(X1, X2)) -> active(U11(mark(X1), X2))
   mark(tt) -> active(tt)
   mark(s(X)) -> active(s(mark(X)))
   mark(length(X)) -> active(length(mark(X)))
   mark(U21(X)) -> active(U21(mark(X)))
   mark(nil) -> active(nil)
   mark(U31(X1, X2, X3, X4)) -> active(U31(mark(X1), X2, X3, X4))
   mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   mark(and(X1, X2)) -> active(and(mark(X1), X2))
   mark(isNat(X)) -> active(isNat(X))
   mark(isNatList(X)) -> active(isNatList(X))
   mark(isNatIList(X)) -> active(isNatIList(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)
   U11(mark(X1), X2) -> U11(X1, X2)
   U11(X1, mark(X2)) -> U11(X1, X2)
   U11(active(X1), X2) -> U11(X1, X2)
   U11(X1, active(X2)) -> U11(X1, X2)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   length(mark(X)) -> length(X)
   length(active(X)) -> length(X)
   U21(mark(X)) -> U21(X)
   U21(active(X)) -> U21(X)
   U31(mark(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, mark(X2), X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, mark(X3), X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, X3, mark(X4)) -> U31(X1, X2, X3, X4)
   U31(active(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, active(X2), X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, active(X3), X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, X3, active(X4)) -> U31(X1, X2, X3, X4)
   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)
   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)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   isNatList(mark(X)) -> isNatList(X)
   isNatList(active(X)) -> isNatList(X)
   isNatIList(mark(X)) -> isNatIList(X)
   isNatIList(active(X)) -> isNatIList(X)

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

   encArg(zeros) -> zeros
   encArg(0') -> 0'
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_U11(x_1, x_2)) -> U11(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_U21(x_1)) -> U21(encArg(x_1))
   encArg(cons_U31(x_1, x_2, x_3, x_4)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_zeros -> zeros
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0'
   encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_U21(x_1) -> U21(encArg(x_1))
   encode_nil -> nil
   encode_U31(x_1, x_2, x_3, x_4) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))

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

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

(10)
Obligation:
Innermost TRS:
Rules:
active(zeros) -> mark(cons(0', zeros))
active(U11(tt, L)) -> mark(s(length(L)))
active(U21(tt)) -> mark(nil)
active(U31(tt, IL, M, N)) -> mark(cons(N, take(M, IL)))
active(and(tt, X)) -> mark(X)
active(isNat(0')) -> mark(tt)
active(isNat(length(V1))) -> mark(isNatList(V1))
active(isNat(s(V1))) -> mark(isNat(V1))
active(isNatIList(V)) -> mark(isNatList(V))
active(isNatIList(zeros)) -> mark(tt)
active(isNatIList(cons(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
active(isNatList(nil)) -> mark(tt)
active(isNatList(cons(V1, V2))) -> mark(and(isNat(V1), isNatList(V2)))
active(isNatList(take(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
active(length(nil)) -> mark(0')
active(length(cons(N, L))) -> mark(U11(and(isNatList(L), isNat(N)), L))
active(take(0', IL)) -> mark(U21(isNatIList(IL)))
active(take(s(M), cons(N, IL))) -> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N))
mark(zeros) -> active(zeros)
mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
mark(0') -> active(0')
mark(U11(X1, X2)) -> active(U11(mark(X1), X2))
mark(tt) -> active(tt)
mark(s(X)) -> active(s(mark(X)))
mark(length(X)) -> active(length(mark(X)))
mark(U21(X)) -> active(U21(mark(X)))
mark(nil) -> active(nil)
mark(U31(X1, X2, X3, X4)) -> active(U31(mark(X1), X2, X3, X4))
mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
mark(and(X1, X2)) -> active(and(mark(X1), X2))
mark(isNat(X)) -> active(isNat(X))
mark(isNatList(X)) -> active(isNatList(X))
mark(isNatIList(X)) -> active(isNatIList(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)
U11(mark(X1), X2) -> U11(X1, X2)
U11(X1, mark(X2)) -> U11(X1, X2)
U11(active(X1), X2) -> U11(X1, X2)
U11(X1, active(X2)) -> U11(X1, X2)
s(mark(X)) -> s(X)
s(active(X)) -> s(X)
length(mark(X)) -> length(X)
length(active(X)) -> length(X)
U21(mark(X)) -> U21(X)
U21(active(X)) -> U21(X)
U31(mark(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
U31(X1, mark(X2), X3, X4) -> U31(X1, X2, X3, X4)
U31(X1, X2, mark(X3), X4) -> U31(X1, X2, X3, X4)
U31(X1, X2, X3, mark(X4)) -> U31(X1, X2, X3, X4)
U31(active(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
U31(X1, active(X2), X3, X4) -> U31(X1, X2, X3, X4)
U31(X1, X2, active(X3), X4) -> U31(X1, X2, X3, X4)
U31(X1, X2, X3, active(X4)) -> U31(X1, X2, X3, X4)
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)
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)
isNat(mark(X)) -> isNat(X)
isNat(active(X)) -> isNat(X)
isNatList(mark(X)) -> isNatList(X)
isNatList(active(X)) -> isNatList(X)
isNatIList(mark(X)) -> isNatIList(X)
isNatIList(active(X)) -> isNatIList(X)
encArg(zeros) -> zeros
encArg(0') -> 0'
encArg(tt) -> tt
encArg(nil) -> nil
encArg(cons_active(x_1)) -> active(encArg(x_1))
encArg(cons_mark(x_1)) -> mark(encArg(x_1))
encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
encArg(cons_U11(x_1, x_2)) -> U11(encArg(x_1), encArg(x_2))
encArg(cons_s(x_1)) -> s(encArg(x_1))
encArg(cons_length(x_1)) -> length(encArg(x_1))
encArg(cons_U21(x_1)) -> U21(encArg(x_1))
encArg(cons_U31(x_1, x_2, x_3, x_4)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
encode_active(x_1) -> active(encArg(x_1))
encode_zeros -> zeros
encode_mark(x_1) -> mark(encArg(x_1))
encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
encode_0 -> 0'
encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2))
encode_tt -> tt
encode_s(x_1) -> s(encArg(x_1))
encode_length(x_1) -> length(encArg(x_1))
encode_U21(x_1) -> U21(encArg(x_1))
encode_nil -> nil
encode_U31(x_1, x_2, x_3, x_4) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
encode_isNat(x_1) -> isNat(encArg(x_1))
encode_isNatList(x_1) -> isNatList(encArg(x_1))
encode_isNatIList(x_1) -> isNatIList(encArg(x_1))

Types:
active :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
zeros :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
mark :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
0' :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
U11 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
tt :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
s :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
length :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
U21 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
nil :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
U31 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
take :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
and :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
isNat :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
isNatList :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
isNatIList :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encArg :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_active :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_mark :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_cons :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_U11 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_s :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_length :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_U21 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_U31 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_take :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_and :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_isNat :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_isNatList :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_isNatIList :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_active :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_zeros :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_mark :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_cons :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_0 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_U11 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_tt :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_s :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_length :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_U21 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_nil :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_U31 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_take :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_and :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_isNat :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_isNatList :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_isNatIList :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
hole_zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList1_5 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
gen_zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList2_5 :: Nat -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList

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

(11) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
active, mark, cons, s, length, take, isNatList, isNat, and, isNatIList, U11, U21, U31, encArg

They will be analysed ascendingly in the following order:
active = mark
cons < active
s < active
length < active
take < active
isNatList < active
isNat < active
and < active
isNatIList < active
U11 < active
U21 < active
U31 < active
active < encArg
cons < mark
s < mark
length < mark
take < mark
isNatList < mark
isNat < mark
and < mark
isNatIList < mark
U11 < mark
U21 < mark
U31 < mark
mark < encArg
cons < encArg
s < encArg
length < encArg
take < encArg
isNatList < encArg
isNat < encArg
and < encArg
isNatIList < encArg
U11 < encArg
U21 < encArg
U31 < encArg

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

(12)
Obligation:
Innermost TRS:
Rules:
active(zeros) -> mark(cons(0', zeros))
active(U11(tt, L)) -> mark(s(length(L)))
active(U21(tt)) -> mark(nil)
active(U31(tt, IL, M, N)) -> mark(cons(N, take(M, IL)))
active(and(tt, X)) -> mark(X)
active(isNat(0')) -> mark(tt)
active(isNat(length(V1))) -> mark(isNatList(V1))
active(isNat(s(V1))) -> mark(isNat(V1))
active(isNatIList(V)) -> mark(isNatList(V))
active(isNatIList(zeros)) -> mark(tt)
active(isNatIList(cons(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
active(isNatList(nil)) -> mark(tt)
active(isNatList(cons(V1, V2))) -> mark(and(isNat(V1), isNatList(V2)))
active(isNatList(take(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
active(length(nil)) -> mark(0')
active(length(cons(N, L))) -> mark(U11(and(isNatList(L), isNat(N)), L))
active(take(0', IL)) -> mark(U21(isNatIList(IL)))
active(take(s(M), cons(N, IL))) -> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N))
mark(zeros) -> active(zeros)
mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
mark(0') -> active(0')
mark(U11(X1, X2)) -> active(U11(mark(X1), X2))
mark(tt) -> active(tt)
mark(s(X)) -> active(s(mark(X)))
mark(length(X)) -> active(length(mark(X)))
mark(U21(X)) -> active(U21(mark(X)))
mark(nil) -> active(nil)
mark(U31(X1, X2, X3, X4)) -> active(U31(mark(X1), X2, X3, X4))
mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
mark(and(X1, X2)) -> active(and(mark(X1), X2))
mark(isNat(X)) -> active(isNat(X))
mark(isNatList(X)) -> active(isNatList(X))
mark(isNatIList(X)) -> active(isNatIList(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)
U11(mark(X1), X2) -> U11(X1, X2)
U11(X1, mark(X2)) -> U11(X1, X2)
U11(active(X1), X2) -> U11(X1, X2)
U11(X1, active(X2)) -> U11(X1, X2)
s(mark(X)) -> s(X)
s(active(X)) -> s(X)
length(mark(X)) -> length(X)
length(active(X)) -> length(X)
U21(mark(X)) -> U21(X)
U21(active(X)) -> U21(X)
U31(mark(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
U31(X1, mark(X2), X3, X4) -> U31(X1, X2, X3, X4)
U31(X1, X2, mark(X3), X4) -> U31(X1, X2, X3, X4)
U31(X1, X2, X3, mark(X4)) -> U31(X1, X2, X3, X4)
U31(active(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
U31(X1, active(X2), X3, X4) -> U31(X1, X2, X3, X4)
U31(X1, X2, active(X3), X4) -> U31(X1, X2, X3, X4)
U31(X1, X2, X3, active(X4)) -> U31(X1, X2, X3, X4)
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)
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)
isNat(mark(X)) -> isNat(X)
isNat(active(X)) -> isNat(X)
isNatList(mark(X)) -> isNatList(X)
isNatList(active(X)) -> isNatList(X)
isNatIList(mark(X)) -> isNatIList(X)
isNatIList(active(X)) -> isNatIList(X)
encArg(zeros) -> zeros
encArg(0') -> 0'
encArg(tt) -> tt
encArg(nil) -> nil
encArg(cons_active(x_1)) -> active(encArg(x_1))
encArg(cons_mark(x_1)) -> mark(encArg(x_1))
encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
encArg(cons_U11(x_1, x_2)) -> U11(encArg(x_1), encArg(x_2))
encArg(cons_s(x_1)) -> s(encArg(x_1))
encArg(cons_length(x_1)) -> length(encArg(x_1))
encArg(cons_U21(x_1)) -> U21(encArg(x_1))
encArg(cons_U31(x_1, x_2, x_3, x_4)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
encode_active(x_1) -> active(encArg(x_1))
encode_zeros -> zeros
encode_mark(x_1) -> mark(encArg(x_1))
encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
encode_0 -> 0'
encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2))
encode_tt -> tt
encode_s(x_1) -> s(encArg(x_1))
encode_length(x_1) -> length(encArg(x_1))
encode_U21(x_1) -> U21(encArg(x_1))
encode_nil -> nil
encode_U31(x_1, x_2, x_3, x_4) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
encode_isNat(x_1) -> isNat(encArg(x_1))
encode_isNatList(x_1) -> isNatList(encArg(x_1))
encode_isNatIList(x_1) -> isNatIList(encArg(x_1))

Types:
active :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
zeros :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
mark :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
0' :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
U11 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
tt :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
s :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
length :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
U21 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
nil :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
U31 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
take :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
and :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
isNat :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
isNatList :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
isNatIList :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encArg :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_active :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_mark :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_cons :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_U11 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_s :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_length :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_U21 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_U31 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_take :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_and :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_isNat :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_isNatList :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_isNatIList :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_active :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_zeros :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_mark :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_cons :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_0 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_U11 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_tt :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_s :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_length :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_U21 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_nil :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_U31 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_take :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_and :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_isNat :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_isNatList :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_isNatIList :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
hole_zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList1_5 :: zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
gen_zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList2_5 :: Nat -> zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList


Generator Equations:
gen_zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList2_5(0) <=> zeros
gen_zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList2_5(+(x, 1)) <=> cons_active(gen_zeros:0':tt:nil:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList2_5(x))


The following defined symbols remain to be analysed:
cons, active, mark, s, length, take, isNatList, isNat, and, isNatIList, U11, U21, U31, encArg

They will be analysed ascendingly in the following order:
active = mark
cons < active
s < active
length < active
take < active
isNatList < active
isNat < active
and < active
isNatIList < active
U11 < active
U21 < active
U31 < active
active < encArg
cons < mark
s < mark
length < mark
take < mark
isNatList < mark
isNat < mark
and < mark
isNatIList < mark
U11 < mark
U21 < mark
U31 < mark
mark < encArg
cons < encArg
s < encArg
length < encArg
take < encArg
isNatList < encArg
isNat < encArg
and < encArg
isNatIList < encArg
U11 < encArg
U21 < encArg
U31 < encArg

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

(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(zeros) -> mark(cons(0, zeros))
   active(U11(tt, L)) -> mark(s(length(L)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, IL, M, N)) -> mark(cons(N, take(M, IL)))
   active(and(tt, X)) -> mark(X)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(V1))) -> mark(isNatList(V1))
   active(isNat(s(V1))) -> mark(isNat(V1))
   active(isNatIList(V)) -> mark(isNatList(V))
   active(isNatIList(zeros)) -> mark(tt)
   active(isNatIList(cons(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(isNatList(nil)) -> mark(tt)
   active(isNatList(cons(V1, V2))) -> mark(and(isNat(V1), isNatList(V2)))
   active(isNatList(take(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(length(nil)) -> mark(0)
   active(length(cons(N, L))) -> mark(U11(and(isNatList(L), isNat(N)), L))
   active(take(0, IL)) -> mark(U21(isNatIList(IL)))
   active(take(s(M), cons(N, IL))) -> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N))
   mark(zeros) -> active(zeros)
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(0) -> active(0)
   mark(U11(X1, X2)) -> active(U11(mark(X1), X2))
   mark(tt) -> active(tt)
   mark(s(X)) -> active(s(mark(X)))
   mark(length(X)) -> active(length(mark(X)))
   mark(U21(X)) -> active(U21(mark(X)))
   mark(nil) -> active(nil)
   mark(U31(X1, X2, X3, X4)) -> active(U31(mark(X1), X2, X3, X4))
   mark(take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   mark(and(X1, X2)) -> active(and(mark(X1), X2))
   mark(isNat(X)) -> active(isNat(X))
   mark(isNatList(X)) -> active(isNatList(X))
   mark(isNatIList(X)) -> active(isNatIList(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)
   U11(mark(X1), X2) -> U11(X1, X2)
   U11(X1, mark(X2)) -> U11(X1, X2)
   U11(active(X1), X2) -> U11(X1, X2)
   U11(X1, active(X2)) -> U11(X1, X2)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   length(mark(X)) -> length(X)
   length(active(X)) -> length(X)
   U21(mark(X)) -> U21(X)
   U21(active(X)) -> U21(X)
   U31(mark(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, mark(X2), X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, mark(X3), X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, X3, mark(X4)) -> U31(X1, X2, X3, X4)
   U31(active(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, active(X2), X3, X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, active(X3), X4) -> U31(X1, X2, X3, X4)
   U31(X1, X2, X3, active(X4)) -> U31(X1, X2, X3, X4)
   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)
   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)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   isNatList(mark(X)) -> isNatList(X)
   isNatList(active(X)) -> isNatList(X)
   isNatIList(mark(X)) -> isNatIList(X)
   isNatIList(active(X)) -> isNatIList(X)
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_U11(x_1, x_2)) -> U11(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_U21(x_1)) -> U21(encArg(x_1))
   encArg(cons_U31(x_1, x_2, x_3, x_4)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_zeros -> zeros
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_U21(x_1) -> U21(encArg(x_1))
   encode_nil -> nil
   encode_U31(x_1, x_2, x_3, x_4) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))

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(zeros) -> active(zeros)
   mark(0) -> active(0)
   mark(tt) -> active(tt)
   mark(nil) -> active(nil)
   isNat(c_active(X)) -> isNat(X)
   active(c_U11(tt, L)) -> mark(s(length(L)))
   U31(X1, c_mark(X2), X3, X4) -> U31(X1, X2, X3, X4)
   cons(c_mark(X1), X2) -> cons(X1, X2)
   length(c_mark(X)) -> length(X)
   U31(c_active(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   mark(c_U11(X1, X2)) -> active(U11(mark(X1), X2))
   U31(c_mark(X1), X2, X3, X4) -> U31(X1, X2, X3, X4)
   U11(X1, c_mark(X2)) -> U11(X1, X2)
   take(c_mark(X1), X2) -> take(X1, X2)
   mark(c_isNatList(X)) -> active(isNatList(X))
   active(c_length(nil)) -> mark(0)
   take(c_active(X1), X2) -> take(X1, X2)
   active(c_U21(tt)) -> mark(nil)
   active(c_isNatIList(c_cons(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(c_isNatList(c_take(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2)))
   active(c_take(c_s(M), c_cons(N, IL))) -> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N))
   mark(c_U21(X)) -> active(U21(mark(X)))
   active(c_isNatList(c_cons(V1, V2))) -> mark(and(isNat(V1), isNatList(V2)))
   active(c_U31(tt, IL, M, N)) -> mark(cons(N, take(M, IL)))
   U21(c_active(X)) -> U21(X)
   isNat(c_mark(X)) -> isNat(X)
   active(c_length(c_cons(N, L))) -> mark(U11(and(isNatList(L), isNat(N)), L))
   active(c_isNat(0)) -> mark(tt)
   U21(c_mark(X)) -> U21(X)
   mark(c_isNatIList(X)) -> active(isNatIList(X))
   take(X1, c_active(X2)) -> take(X1, X2)
   U31(X1, X2, X3, c_mark(X4)) -> U31(X1, X2, X3, X4)
   active(c_isNatIList(V)) -> mark(isNatList(V))
   isNatIList(c_active(X)) -> isNatIList(X)
   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)
   mark(c_and(X1, X2)) -> active(and(mark(X1), X2))
   U31(X1, c_active(X2), X3, X4) -> U31(X1, X2, X3, X4)
   active(c_isNat(c_s(V1))) -> mark(isNat(V1))
   mark(c_take(X1, X2)) -> active(take(mark(X1), mark(X2)))
   cons(X1, c_mark(X2)) -> cons(X1, X2)
   isNatIList(c_mark(X)) -> isNatIList(X)
   mark(c_length(X)) -> active(length(mark(X)))
   active(c_isNat(c_length(V1))) -> mark(isNatList(V1))
   U31(X1, X2, c_mark(X3), X4) -> U31(X1, X2, X3, X4)
   take(X1, c_mark(X2)) -> take(X1, X2)
   active(c_isNatIList(zeros)) -> mark(tt)
   s(c_mark(X)) -> s(X)
   U11(c_mark(X1), X2) -> U11(X1, X2)
   U11(X1, c_active(X2)) -> U11(X1, X2)
   active(c_take(0, IL)) -> mark(U21(isNatIList(IL)))
   U31(X1, X2, X3, c_active(X4)) -> U31(X1, X2, X3, X4)
   active(c_and(tt, X)) -> mark(X)
   length(c_active(X)) -> length(X)
   isNatList(c_mark(X)) -> isNatList(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)
   mark(c_U31(X1, X2, X3, X4)) -> active(U31(mark(X1), X2, X3, X4))
   and(c_mark(X1), X2) -> and(X1, X2)
   U31(X1, X2, c_active(X3), X4) -> U31(X1, X2, X3, X4)
   U11(c_active(X1), X2) -> U11(X1, X2)
   and(X1, c_active(X2)) -> and(X1, X2)

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

   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_U11(x_1, x_2)) -> U11(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_length(x_1)) -> length(encArg(x_1))
   encArg(cons_U21(x_1)) -> U21(encArg(x_1))
   encArg(cons_U31(x_1, x_2, x_3, x_4)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1))
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_zeros -> zeros
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2))
   encode_tt -> tt
   encode_s(x_1) -> s(encArg(x_1))
   encode_length(x_1) -> length(encArg(x_1))
   encode_U21(x_1) -> U21(encArg(x_1))
   encode_nil -> nil
   encode_U31(x_1, x_2, x_3, x_4) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4))
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_isNatList(x_1) -> isNatList(encArg(x_1))
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1))
   isNatIList(x0) -> c_isNatIList(x0)
   isNat(x0) -> c_isNat(x0)
   U31(x0, x1, x2, x3) -> c_U31(x0, x1, x2, x3)
   U21(x0) -> c_U21(x0)
   and(x0, x1) -> c_and(x0, x1)
   U11(x0, x1) -> c_U11(x0, x1)
   s(x0) -> c_s(x0)
   active(x0) -> c_active(x0)
   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(zeros) -> active(zeros) [1]
   mark(0) -> active(0) [1]
   mark(tt) -> active(tt) [1]
   mark(nil) -> active(nil) [1]
   isNat(c_active(X)) -> isNat(X) [1]
   active(c_U11(tt, L)) -> mark(s(length(L))) [1]
   U31(X1, c_mark(X2), X3, X4) -> U31(X1, X2, X3, X4) [1]
   cons(c_mark(X1), X2) -> cons(X1, X2) [1]
   length(c_mark(X)) -> length(X) [1]
   U31(c_active(X1), X2, X3, X4) -> U31(X1, X2, X3, X4) [1]
   mark(c_U11(X1, X2)) -> active(U11(mark(X1), X2)) [1]
   U31(c_mark(X1), X2, X3, X4) -> U31(X1, X2, X3, X4) [1]
   U11(X1, c_mark(X2)) -> U11(X1, X2) [1]
   take(c_mark(X1), X2) -> take(X1, X2) [1]
   mark(c_isNatList(X)) -> active(isNatList(X)) [1]
   active(c_length(nil)) -> mark(0) [1]
   take(c_active(X1), X2) -> take(X1, X2) [1]
   active(c_U21(tt)) -> mark(nil) [1]
   active(c_isNatIList(c_cons(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2))) [1]
   active(c_isNatList(c_take(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2))) [1]
   active(c_take(c_s(M), c_cons(N, IL))) -> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N)) [1]
   mark(c_U21(X)) -> active(U21(mark(X))) [1]
   active(c_isNatList(c_cons(V1, V2))) -> mark(and(isNat(V1), isNatList(V2))) [1]
   active(c_U31(tt, IL, M, N)) -> mark(cons(N, take(M, IL))) [1]
   U21(c_active(X)) -> U21(X) [1]
   isNat(c_mark(X)) -> isNat(X) [1]
   active(c_length(c_cons(N, L))) -> mark(U11(and(isNatList(L), isNat(N)), L)) [1]
   active(c_isNat(0)) -> mark(tt) [1]
   U21(c_mark(X)) -> U21(X) [1]
   mark(c_isNatIList(X)) -> active(isNatIList(X)) [1]
   take(X1, c_active(X2)) -> take(X1, X2) [1]
   U31(X1, X2, X3, c_mark(X4)) -> U31(X1, X2, X3, X4) [1]
   active(c_isNatIList(V)) -> mark(isNatList(V)) [1]
   isNatIList(c_active(X)) -> isNatIList(X) [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]
   mark(c_and(X1, X2)) -> active(and(mark(X1), X2)) [1]
   U31(X1, c_active(X2), X3, X4) -> U31(X1, X2, X3, X4) [1]
   active(c_isNat(c_s(V1))) -> mark(isNat(V1)) [1]
   mark(c_take(X1, X2)) -> active(take(mark(X1), mark(X2))) [1]
   cons(X1, c_mark(X2)) -> cons(X1, X2) [1]
   isNatIList(c_mark(X)) -> isNatIList(X) [1]
   mark(c_length(X)) -> active(length(mark(X))) [1]
   active(c_isNat(c_length(V1))) -> mark(isNatList(V1)) [1]
   U31(X1, X2, c_mark(X3), X4) -> U31(X1, X2, X3, X4) [1]
   take(X1, c_mark(X2)) -> take(X1, X2) [1]
   active(c_isNatIList(zeros)) -> mark(tt) [1]
   s(c_mark(X)) -> s(X) [1]
   U11(c_mark(X1), X2) -> U11(X1, X2) [1]
   U11(X1, c_active(X2)) -> U11(X1, X2) [1]
   active(c_take(0, IL)) -> mark(U21(isNatIList(IL))) [1]
   U31(X1, X2, X3, c_active(X4)) -> U31(X1, X2, X3, X4) [1]
   active(c_and(tt, X)) -> mark(X) [1]
   length(c_active(X)) -> length(X) [1]
   isNatList(c_mark(X)) -> isNatList(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]
   mark(c_U31(X1, X2, X3, X4)) -> active(U31(mark(X1), X2, X3, X4)) [1]
   and(c_mark(X1), X2) -> and(X1, X2) [1]
   U31(X1, X2, c_active(X3), X4) -> U31(X1, X2, X3, X4) [1]
   U11(c_active(X1), X2) -> U11(X1, X2) [1]
   and(X1, c_active(X2)) -> and(X1, X2) [1]
   encArg(zeros) -> zeros [0]
   encArg(0) -> 0 [0]
   encArg(tt) -> tt [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_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U11(x_1, x_2)) -> U11(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_length(x_1)) -> length(encArg(x_1)) [0]
   encArg(cons_U21(x_1)) -> U21(encArg(x_1)) [0]
   encArg(cons_U31(x_1, x_2, x_3, x_4)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0]
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1)) [0]
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_zeros -> zeros [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) [0]
   encode_tt -> tt [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_length(x_1) -> length(encArg(x_1)) [0]
   encode_U21(x_1) -> U21(encArg(x_1)) [0]
   encode_nil -> nil [0]
   encode_U31(x_1, x_2, x_3, x_4) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2)) [0]
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [0]
   encode_isNat(x_1) -> isNat(encArg(x_1)) [0]
   encode_isNatList(x_1) -> isNatList(encArg(x_1)) [0]
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1)) [0]
   isNatIList(x0) -> c_isNatIList(x0) [0]
   isNat(x0) -> c_isNat(x0) [0]
   U31(x0, x1, x2, x3) -> c_U31(x0, x1, x2, x3) [0]
   U21(x0) -> c_U21(x0) [0]
   and(x0, x1) -> c_and(x0, x1) [0]
   U11(x0, x1) -> c_U11(x0, x1) [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [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(zeros) -> active(zeros) [1]
   mark(0) -> active(0) [1]
   mark(tt) -> active(tt) [1]
   mark(nil) -> active(nil) [1]
   isNat(c_active(X)) -> isNat(X) [1]
   active(c_U11(tt, L)) -> mark(s(length(L))) [1]
   U31(X1, c_mark(X2), X3, X4) -> U31(X1, X2, X3, X4) [1]
   cons(c_mark(X1), X2) -> cons(X1, X2) [1]
   length(c_mark(X)) -> length(X) [1]
   U31(c_active(X1), X2, X3, X4) -> U31(X1, X2, X3, X4) [1]
   mark(c_U11(X1, X2)) -> active(U11(mark(X1), X2)) [1]
   U31(c_mark(X1), X2, X3, X4) -> U31(X1, X2, X3, X4) [1]
   U11(X1, c_mark(X2)) -> U11(X1, X2) [1]
   take(c_mark(X1), X2) -> take(X1, X2) [1]
   mark(c_isNatList(X)) -> active(isNatList(X)) [1]
   active(c_length(nil)) -> mark(0) [1]
   take(c_active(X1), X2) -> take(X1, X2) [1]
   active(c_U21(tt)) -> mark(nil) [1]
   active(c_isNatIList(c_cons(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2))) [1]
   active(c_isNatList(c_take(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2))) [1]
   active(c_take(c_s(M), c_cons(N, IL))) -> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N)) [1]
   mark(c_U21(X)) -> active(U21(mark(X))) [1]
   active(c_isNatList(c_cons(V1, V2))) -> mark(and(isNat(V1), isNatList(V2))) [1]
   active(c_U31(tt, IL, M, N)) -> mark(cons(N, take(M, IL))) [1]
   U21(c_active(X)) -> U21(X) [1]
   isNat(c_mark(X)) -> isNat(X) [1]
   active(c_length(c_cons(N, L))) -> mark(U11(and(isNatList(L), isNat(N)), L)) [1]
   active(c_isNat(0)) -> mark(tt) [1]
   U21(c_mark(X)) -> U21(X) [1]
   mark(c_isNatIList(X)) -> active(isNatIList(X)) [1]
   take(X1, c_active(X2)) -> take(X1, X2) [1]
   U31(X1, X2, X3, c_mark(X4)) -> U31(X1, X2, X3, X4) [1]
   active(c_isNatIList(V)) -> mark(isNatList(V)) [1]
   isNatIList(c_active(X)) -> isNatIList(X) [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]
   mark(c_and(X1, X2)) -> active(and(mark(X1), X2)) [1]
   U31(X1, c_active(X2), X3, X4) -> U31(X1, X2, X3, X4) [1]
   active(c_isNat(c_s(V1))) -> mark(isNat(V1)) [1]
   mark(c_take(X1, X2)) -> active(take(mark(X1), mark(X2))) [1]
   cons(X1, c_mark(X2)) -> cons(X1, X2) [1]
   isNatIList(c_mark(X)) -> isNatIList(X) [1]
   mark(c_length(X)) -> active(length(mark(X))) [1]
   active(c_isNat(c_length(V1))) -> mark(isNatList(V1)) [1]
   U31(X1, X2, c_mark(X3), X4) -> U31(X1, X2, X3, X4) [1]
   take(X1, c_mark(X2)) -> take(X1, X2) [1]
   active(c_isNatIList(zeros)) -> mark(tt) [1]
   s(c_mark(X)) -> s(X) [1]
   U11(c_mark(X1), X2) -> U11(X1, X2) [1]
   U11(X1, c_active(X2)) -> U11(X1, X2) [1]
   active(c_take(0, IL)) -> mark(U21(isNatIList(IL))) [1]
   U31(X1, X2, X3, c_active(X4)) -> U31(X1, X2, X3, X4) [1]
   active(c_and(tt, X)) -> mark(X) [1]
   length(c_active(X)) -> length(X) [1]
   isNatList(c_mark(X)) -> isNatList(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]
   mark(c_U31(X1, X2, X3, X4)) -> active(U31(mark(X1), X2, X3, X4)) [1]
   and(c_mark(X1), X2) -> and(X1, X2) [1]
   U31(X1, X2, c_active(X3), X4) -> U31(X1, X2, X3, X4) [1]
   U11(c_active(X1), X2) -> U11(X1, X2) [1]
   and(X1, c_active(X2)) -> and(X1, X2) [1]
   encArg(zeros) -> zeros [0]
   encArg(0) -> 0 [0]
   encArg(tt) -> tt [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_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U11(x_1, x_2)) -> U11(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_length(x_1)) -> length(encArg(x_1)) [0]
   encArg(cons_U21(x_1)) -> U21(encArg(x_1)) [0]
   encArg(cons_U31(x_1, x_2, x_3, x_4)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0]
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1)) [0]
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_zeros -> zeros [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) [0]
   encode_tt -> tt [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_length(x_1) -> length(encArg(x_1)) [0]
   encode_U21(x_1) -> U21(encArg(x_1)) [0]
   encode_nil -> nil [0]
   encode_U31(x_1, x_2, x_3, x_4) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2)) [0]
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [0]
   encode_isNat(x_1) -> isNat(encArg(x_1)) [0]
   encode_isNatList(x_1) -> isNatList(encArg(x_1)) [0]
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1)) [0]
   isNatIList(x0) -> c_isNatIList(x0) [0]
   isNat(x0) -> c_isNat(x0) [0]
   U31(x0, x1, x2, x3) -> c_U31(x0, x1, x2, x3) [0]
   U21(x0) -> c_U21(x0) [0]
   and(x0, x1) -> c_and(x0, x1) [0]
   U11(x0, x1) -> c_U11(x0, x1) [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [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_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
zeros :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
0 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
tt :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
nil :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
c_active :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
c_U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
c_mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
c_isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
c_length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
c_U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
c_isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
c_cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
c_take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
c_s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
c_U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
c_isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
c_and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encArg :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_active :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
cons_isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_active :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_zeros :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_0 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_tt :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_nil :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList
encode_isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList

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

(21) 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_zeros
   encode_mark_1
   encode_cons_2
   encode_0
   encode_U11_2
   encode_tt
   encode_s_1
   encode_length_1
   encode_U21_1
   encode_nil
   encode_U31_4
   encode_take_2
   encode_and_2
   encode_isNat_1
   encode_isNatList_1
   encode_isNatIList_1
   isNatIList_1
   isNat_1
   U31_4
   U21_1
   and_2
   U11_2
   s_1
   active_1
   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_zeros -> null_encode_zeros [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_0 -> null_encode_0 [0]
   encode_U11(v0, v1) -> null_encode_U11 [0]
   encode_tt -> null_encode_tt [0]
   encode_s(v0) -> null_encode_s [0]
   encode_length(v0) -> null_encode_length [0]
   encode_U21(v0) -> null_encode_U21 [0]
   encode_nil -> null_encode_nil [0]
   encode_U31(v0, v1, v2, v3) -> null_encode_U31 [0]
   encode_take(v0, v1) -> null_encode_take [0]
   encode_and(v0, v1) -> null_encode_and [0]
   encode_isNat(v0) -> null_encode_isNat [0]
   encode_isNatList(v0) -> null_encode_isNatList [0]
   encode_isNatIList(v0) -> null_encode_isNatIList [0]
   isNatIList(v0) -> null_isNatIList [0]
   isNat(v0) -> null_isNat [0]
   U31(v0, v1, v2, v3) -> null_U31 [0]
   U21(v0) -> null_U21 [0]
   and(v0, v1) -> null_and [0]
   U11(v0, v1) -> null_U11 [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [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_zeros, null_encode_mark, null_encode_cons, null_encode_0, null_encode_U11, null_encode_tt, null_encode_s, null_encode_length, null_encode_U21, null_encode_nil, null_encode_U31, null_encode_take, null_encode_and, null_encode_isNat, null_encode_isNatList, null_encode_isNatIList, null_isNatIList, null_isNat, null_U31, null_U21, null_and, null_U11, null_s, null_active, null_length, null_take, null_cons, null_isNatList, null_mark

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

(22)
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(zeros) -> active(zeros) [1]
   mark(0) -> active(0) [1]
   mark(tt) -> active(tt) [1]
   mark(nil) -> active(nil) [1]
   isNat(c_active(X)) -> isNat(X) [1]
   active(c_U11(tt, L)) -> mark(s(length(L))) [1]
   U31(X1, c_mark(X2), X3, X4) -> U31(X1, X2, X3, X4) [1]
   cons(c_mark(X1), X2) -> cons(X1, X2) [1]
   length(c_mark(X)) -> length(X) [1]
   U31(c_active(X1), X2, X3, X4) -> U31(X1, X2, X3, X4) [1]
   mark(c_U11(X1, X2)) -> active(U11(mark(X1), X2)) [1]
   U31(c_mark(X1), X2, X3, X4) -> U31(X1, X2, X3, X4) [1]
   U11(X1, c_mark(X2)) -> U11(X1, X2) [1]
   take(c_mark(X1), X2) -> take(X1, X2) [1]
   mark(c_isNatList(X)) -> active(isNatList(X)) [1]
   active(c_length(nil)) -> mark(0) [1]
   take(c_active(X1), X2) -> take(X1, X2) [1]
   active(c_U21(tt)) -> mark(nil) [1]
   active(c_isNatIList(c_cons(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2))) [1]
   active(c_isNatList(c_take(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2))) [1]
   active(c_take(c_s(M), c_cons(N, IL))) -> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N)) [1]
   mark(c_U21(X)) -> active(U21(mark(X))) [1]
   active(c_isNatList(c_cons(V1, V2))) -> mark(and(isNat(V1), isNatList(V2))) [1]
   active(c_U31(tt, IL, M, N)) -> mark(cons(N, take(M, IL))) [1]
   U21(c_active(X)) -> U21(X) [1]
   isNat(c_mark(X)) -> isNat(X) [1]
   active(c_length(c_cons(N, L))) -> mark(U11(and(isNatList(L), isNat(N)), L)) [1]
   active(c_isNat(0)) -> mark(tt) [1]
   U21(c_mark(X)) -> U21(X) [1]
   mark(c_isNatIList(X)) -> active(isNatIList(X)) [1]
   take(X1, c_active(X2)) -> take(X1, X2) [1]
   U31(X1, X2, X3, c_mark(X4)) -> U31(X1, X2, X3, X4) [1]
   active(c_isNatIList(V)) -> mark(isNatList(V)) [1]
   isNatIList(c_active(X)) -> isNatIList(X) [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]
   mark(c_and(X1, X2)) -> active(and(mark(X1), X2)) [1]
   U31(X1, c_active(X2), X3, X4) -> U31(X1, X2, X3, X4) [1]
   active(c_isNat(c_s(V1))) -> mark(isNat(V1)) [1]
   mark(c_take(X1, X2)) -> active(take(mark(X1), mark(X2))) [1]
   cons(X1, c_mark(X2)) -> cons(X1, X2) [1]
   isNatIList(c_mark(X)) -> isNatIList(X) [1]
   mark(c_length(X)) -> active(length(mark(X))) [1]
   active(c_isNat(c_length(V1))) -> mark(isNatList(V1)) [1]
   U31(X1, X2, c_mark(X3), X4) -> U31(X1, X2, X3, X4) [1]
   take(X1, c_mark(X2)) -> take(X1, X2) [1]
   active(c_isNatIList(zeros)) -> mark(tt) [1]
   s(c_mark(X)) -> s(X) [1]
   U11(c_mark(X1), X2) -> U11(X1, X2) [1]
   U11(X1, c_active(X2)) -> U11(X1, X2) [1]
   active(c_take(0, IL)) -> mark(U21(isNatIList(IL))) [1]
   U31(X1, X2, X3, c_active(X4)) -> U31(X1, X2, X3, X4) [1]
   active(c_and(tt, X)) -> mark(X) [1]
   length(c_active(X)) -> length(X) [1]
   isNatList(c_mark(X)) -> isNatList(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]
   mark(c_U31(X1, X2, X3, X4)) -> active(U31(mark(X1), X2, X3, X4)) [1]
   and(c_mark(X1), X2) -> and(X1, X2) [1]
   U31(X1, X2, c_active(X3), X4) -> U31(X1, X2, X3, X4) [1]
   U11(c_active(X1), X2) -> U11(X1, X2) [1]
   and(X1, c_active(X2)) -> and(X1, X2) [1]
   encArg(zeros) -> zeros [0]
   encArg(0) -> 0 [0]
   encArg(tt) -> tt [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_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U11(x_1, x_2)) -> U11(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_length(x_1)) -> length(encArg(x_1)) [0]
   encArg(cons_U21(x_1)) -> U21(encArg(x_1)) [0]
   encArg(cons_U31(x_1, x_2, x_3, x_4)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0]
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1)) [0]
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_zeros -> zeros [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) [0]
   encode_tt -> tt [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_length(x_1) -> length(encArg(x_1)) [0]
   encode_U21(x_1) -> U21(encArg(x_1)) [0]
   encode_nil -> nil [0]
   encode_U31(x_1, x_2, x_3, x_4) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2)) [0]
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [0]
   encode_isNat(x_1) -> isNat(encArg(x_1)) [0]
   encode_isNatList(x_1) -> isNatList(encArg(x_1)) [0]
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1)) [0]
   isNatIList(x0) -> c_isNatIList(x0) [0]
   isNat(x0) -> c_isNat(x0) [0]
   U31(x0, x1, x2, x3) -> c_U31(x0, x1, x2, x3) [0]
   U21(x0) -> c_U21(x0) [0]
   and(x0, x1) -> c_and(x0, x1) [0]
   U11(x0, x1) -> c_U11(x0, x1) [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [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_zeros -> null_encode_zeros [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_0 -> null_encode_0 [0]
   encode_U11(v0, v1) -> null_encode_U11 [0]
   encode_tt -> null_encode_tt [0]
   encode_s(v0) -> null_encode_s [0]
   encode_length(v0) -> null_encode_length [0]
   encode_U21(v0) -> null_encode_U21 [0]
   encode_nil -> null_encode_nil [0]
   encode_U31(v0, v1, v2, v3) -> null_encode_U31 [0]
   encode_take(v0, v1) -> null_encode_take [0]
   encode_and(v0, v1) -> null_encode_and [0]
   encode_isNat(v0) -> null_encode_isNat [0]
   encode_isNatList(v0) -> null_encode_isNatList [0]
   encode_isNatIList(v0) -> null_encode_isNatIList [0]
   isNatIList(v0) -> null_isNatIList [0]
   isNat(v0) -> null_isNat [0]
   U31(v0, v1, v2, v3) -> null_U31 [0]
   U21(v0) -> null_U21 [0]
   and(v0, v1) -> null_and [0]
   U11(v0, v1) -> null_U11 [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [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_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
zeros :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
0 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
tt :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
nil :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_active :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encArg :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_active :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_active :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_zeros :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_0 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_tt :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_nil :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encArg :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_active :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_zeros :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_0 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_tt :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_nil :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_active :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark

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

(23) 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_zeros -> null_encode_zeros [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_0 -> null_encode_0 [0]
   encode_U11(v0, v1) -> null_encode_U11 [0]
   encode_tt -> null_encode_tt [0]
   encode_s(v0) -> null_encode_s [0]
   encode_length(v0) -> null_encode_length [0]
   encode_U21(v0) -> null_encode_U21 [0]
   encode_nil -> null_encode_nil [0]
   encode_U31(v0, v1, v2, v3) -> null_encode_U31 [0]
   encode_take(v0, v1) -> null_encode_take [0]
   encode_and(v0, v1) -> null_encode_and [0]
   encode_isNat(v0) -> null_encode_isNat [0]
   encode_isNatList(v0) -> null_encode_isNatList [0]
   encode_isNatIList(v0) -> null_encode_isNatIList [0]
   isNatIList(v0) -> null_isNatIList [0]
   isNat(v0) -> null_isNat [0]
   U31(v0, v1, v2, v3) -> null_U31 [0]
   U21(v0) -> null_U21 [0]
   and(v0, v1) -> null_and [0]
   U11(v0, v1) -> null_U11 [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [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_zeros, null_encode_mark, null_encode_cons, null_encode_0, null_encode_U11, null_encode_tt, null_encode_s, null_encode_length, null_encode_U21, null_encode_nil, null_encode_U31, null_encode_take, null_encode_and, null_encode_isNat, null_encode_isNatList, null_encode_isNatIList, null_isNatIList, null_isNat, null_U31, null_U21, null_and, null_U11, null_s, null_active, null_length, null_take, null_cons, null_isNatList, null_mark

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

(24)
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(zeros) -> active(zeros) [1]
   mark(0) -> active(0) [1]
   mark(tt) -> active(tt) [1]
   mark(nil) -> active(nil) [1]
   isNat(c_active(X)) -> isNat(X) [1]
   active(c_U11(tt, L)) -> mark(s(length(L))) [1]
   U31(X1, c_mark(X2), X3, X4) -> U31(X1, X2, X3, X4) [1]
   cons(c_mark(X1), X2) -> cons(X1, X2) [1]
   length(c_mark(X)) -> length(X) [1]
   U31(c_active(X1), X2, X3, X4) -> U31(X1, X2, X3, X4) [1]
   mark(c_U11(X1, X2)) -> active(U11(mark(X1), X2)) [1]
   U31(c_mark(X1), X2, X3, X4) -> U31(X1, X2, X3, X4) [1]
   U11(X1, c_mark(X2)) -> U11(X1, X2) [1]
   take(c_mark(X1), X2) -> take(X1, X2) [1]
   mark(c_isNatList(X)) -> active(isNatList(X)) [1]
   active(c_length(nil)) -> mark(0) [1]
   take(c_active(X1), X2) -> take(X1, X2) [1]
   active(c_U21(tt)) -> mark(nil) [1]
   active(c_isNatIList(c_cons(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2))) [1]
   active(c_isNatList(c_take(V1, V2))) -> mark(and(isNat(V1), isNatIList(V2))) [1]
   active(c_take(c_s(M), c_cons(N, IL))) -> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N)) [1]
   mark(c_U21(X)) -> active(U21(mark(X))) [1]
   active(c_isNatList(c_cons(V1, V2))) -> mark(and(isNat(V1), isNatList(V2))) [1]
   active(c_U31(tt, IL, M, N)) -> mark(cons(N, take(M, IL))) [1]
   U21(c_active(X)) -> U21(X) [1]
   isNat(c_mark(X)) -> isNat(X) [1]
   active(c_length(c_cons(N, L))) -> mark(U11(and(isNatList(L), isNat(N)), L)) [1]
   active(c_isNat(0)) -> mark(tt) [1]
   U21(c_mark(X)) -> U21(X) [1]
   mark(c_isNatIList(X)) -> active(isNatIList(X)) [1]
   take(X1, c_active(X2)) -> take(X1, X2) [1]
   U31(X1, X2, X3, c_mark(X4)) -> U31(X1, X2, X3, X4) [1]
   active(c_isNatIList(V)) -> mark(isNatList(V)) [1]
   isNatIList(c_active(X)) -> isNatIList(X) [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]
   mark(c_and(X1, X2)) -> active(and(mark(X1), X2)) [1]
   U31(X1, c_active(X2), X3, X4) -> U31(X1, X2, X3, X4) [1]
   active(c_isNat(c_s(V1))) -> mark(isNat(V1)) [1]
   mark(c_take(X1, X2)) -> active(take(mark(X1), mark(X2))) [1]
   cons(X1, c_mark(X2)) -> cons(X1, X2) [1]
   isNatIList(c_mark(X)) -> isNatIList(X) [1]
   mark(c_length(X)) -> active(length(mark(X))) [1]
   active(c_isNat(c_length(V1))) -> mark(isNatList(V1)) [1]
   U31(X1, X2, c_mark(X3), X4) -> U31(X1, X2, X3, X4) [1]
   take(X1, c_mark(X2)) -> take(X1, X2) [1]
   active(c_isNatIList(zeros)) -> mark(tt) [1]
   s(c_mark(X)) -> s(X) [1]
   U11(c_mark(X1), X2) -> U11(X1, X2) [1]
   U11(X1, c_active(X2)) -> U11(X1, X2) [1]
   active(c_take(0, IL)) -> mark(U21(isNatIList(IL))) [1]
   U31(X1, X2, X3, c_active(X4)) -> U31(X1, X2, X3, X4) [1]
   active(c_and(tt, X)) -> mark(X) [1]
   length(c_active(X)) -> length(X) [1]
   isNatList(c_mark(X)) -> isNatList(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]
   mark(c_U31(X1, X2, X3, X4)) -> active(U31(mark(X1), X2, X3, X4)) [1]
   and(c_mark(X1), X2) -> and(X1, X2) [1]
   U31(X1, X2, c_active(X3), X4) -> U31(X1, X2, X3, X4) [1]
   U11(c_active(X1), X2) -> U11(X1, X2) [1]
   and(X1, c_active(X2)) -> and(X1, X2) [1]
   encArg(zeros) -> zeros [0]
   encArg(0) -> 0 [0]
   encArg(tt) -> tt [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_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U11(x_1, x_2)) -> U11(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_length(x_1)) -> length(encArg(x_1)) [0]
   encArg(cons_U21(x_1)) -> U21(encArg(x_1)) [0]
   encArg(cons_U31(x_1, x_2, x_3, x_4)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0]
   encArg(cons_isNatList(x_1)) -> isNatList(encArg(x_1)) [0]
   encArg(cons_isNatIList(x_1)) -> isNatIList(encArg(x_1)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_zeros -> zeros [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) [0]
   encode_tt -> tt [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_length(x_1) -> length(encArg(x_1)) [0]
   encode_U21(x_1) -> U21(encArg(x_1)) [0]
   encode_nil -> nil [0]
   encode_U31(x_1, x_2, x_3, x_4) -> U31(encArg(x_1), encArg(x_2), encArg(x_3), encArg(x_4)) [0]
   encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2)) [0]
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [0]
   encode_isNat(x_1) -> isNat(encArg(x_1)) [0]
   encode_isNatList(x_1) -> isNatList(encArg(x_1)) [0]
   encode_isNatIList(x_1) -> isNatIList(encArg(x_1)) [0]
   isNatIList(x0) -> c_isNatIList(x0) [0]
   isNat(x0) -> c_isNat(x0) [0]
   U31(x0, x1, x2, x3) -> c_U31(x0, x1, x2, x3) [0]
   U21(x0) -> c_U21(x0) [0]
   and(x0, x1) -> c_and(x0, x1) [0]
   U11(x0, x1) -> c_U11(x0, x1) [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [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_zeros -> null_encode_zeros [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_0 -> null_encode_0 [0]
   encode_U11(v0, v1) -> null_encode_U11 [0]
   encode_tt -> null_encode_tt [0]
   encode_s(v0) -> null_encode_s [0]
   encode_length(v0) -> null_encode_length [0]
   encode_U21(v0) -> null_encode_U21 [0]
   encode_nil -> null_encode_nil [0]
   encode_U31(v0, v1, v2, v3) -> null_encode_U31 [0]
   encode_take(v0, v1) -> null_encode_take [0]
   encode_and(v0, v1) -> null_encode_and [0]
   encode_isNat(v0) -> null_encode_isNat [0]
   encode_isNatList(v0) -> null_encode_isNatList [0]
   encode_isNatIList(v0) -> null_encode_isNatIList [0]
   isNatIList(v0) -> null_isNatIList [0]
   isNat(v0) -> null_isNat [0]
   U31(v0, v1, v2, v3) -> null_U31 [0]
   U21(v0) -> null_U21 [0]
   and(v0, v1) -> null_and [0]
   U11(v0, v1) -> null_U11 [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [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_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
zeros :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
0 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
tt :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
nil :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_active :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
c_and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encArg :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_active :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
cons_isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_active :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_zeros :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_0 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_tt :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_nil :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
encode_isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark -> zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encArg :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_active :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_zeros :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_0 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_tt :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_nil :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_encode_isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_isNatIList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_isNat :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_U31 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_U21 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_and :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_U11 :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_s :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_active :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_length :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_take :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_cons :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_isNatList :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark
null_mark :: zeros:0:tt:nil:c_active:c_U11:c_mark:c_isNatList:c_length:c_U21:c_cons:c_isNatIList:c_take:c_s:c_U31:c_isNat:c_and:cons_active:cons_mark:cons_cons:cons_U11:cons_s:cons_length:cons_U21:cons_U31:cons_take:cons_and:cons_isNat:cons_isNatList:cons_isNatIList:null_encArg:null_encode_active:null_encode_zeros:null_encode_mark:null_encode_cons:null_encode_0:null_encode_U11:null_encode_tt:null_encode_s:null_encode_length:null_encode_U21:null_encode_nil:null_encode_U31:null_encode_take:null_encode_and:null_encode_isNat:null_encode_isNatList:null_encode_isNatIList:null_isNatIList:null_isNat:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_length:null_take:null_cons:null_isNatList:null_mark

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

(25) 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_zeros => 0
   null_encode_mark => 0
   null_encode_cons => 0
   null_encode_0 => 0
   null_encode_U11 => 0
   null_encode_tt => 0
   null_encode_s => 0
   null_encode_length => 0
   null_encode_U21 => 0
   null_encode_nil => 0
   null_encode_U31 => 0
   null_encode_take => 0
   null_encode_and => 0
   null_encode_isNat => 0
   null_encode_isNatList => 0
   null_encode_isNatIList => 0
   null_isNatIList => 0
   null_isNat => 0
   null_U31 => 0
   null_U21 => 0
   null_and => 0
   null_U11 => 0
   null_s => 0
   null_active => 0
   null_length => 0
   null_take => 0
   null_cons => 0
   null_isNatList => 0
   null_mark => 0

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

(26)
Obligation:
Complexity RNTS consisting of the following rules:

   U11(z, z') -{ 1 }-> U11(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1
   U11(z, z') -{ 1 }-> U11(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2
   U11(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   U11(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   U21(z) -{ 1 }-> U21(X) :|: z = 1 + X, X >= 0
   U21(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   U21(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   U31(z, z', z'', z1) -{ 1 }-> U31(X1, X2, X3, X4) :|: X1 >= 0, z1 = X4, X3 >= 0, z' = 1 + X2, X2 >= 0, X4 >= 0, z = X1, z'' = X3
   U31(z, z', z'', z1) -{ 1 }-> U31(X1, X2, X3, X4) :|: X1 >= 0, z1 = X4, z = 1 + X1, X3 >= 0, X2 >= 0, X4 >= 0, z' = X2, z'' = X3
   U31(z, z', z'', z1) -{ 1 }-> U31(X1, X2, X3, X4) :|: z1 = 1 + X4, X1 >= 0, X3 >= 0, X2 >= 0, X4 >= 0, z = X1, z' = X2, z'' = X3
   U31(z, z', z'', z1) -{ 1 }-> U31(X1, X2, X3, X4) :|: X1 >= 0, z1 = X4, X3 >= 0, X2 >= 0, X4 >= 0, z = X1, z' = X2, z'' = 1 + X3
   U31(z, z', z'', z1) -{ 0 }-> 0 :|: z1 = v3, v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0, v3 >= 0
   U31(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
   active(z) -{ 1 }-> mark(X) :|: z = 1 + 2 + X, X >= 0
   active(z) -{ 1 }-> mark(s(length(L))) :|: z = 1 + 2 + L, L >= 0
   active(z) -{ 1 }-> mark(isNatList(V)) :|: z = 1 + V, V >= 0
   active(z) -{ 1 }-> mark(isNatList(V1)) :|: V1 >= 0, z = 1 + (1 + V1)
   active(z) -{ 1 }-> mark(isNat(V1)) :|: V1 >= 0, z = 1 + (1 + V1)
   active(z) -{ 1 }-> mark(cons(N, take(M, IL))) :|: M >= 0, IL >= 0, z = 1 + 2 + IL + M + N, N >= 0
   active(z) -{ 1 }-> mark(cons(0, 3)) :|: z = 3
   active(z) -{ 1 }-> mark(and(isNat(V1), isNatList(V2))) :|: V1 >= 0, V2 >= 0, z = 1 + (1 + V1 + V2)
   active(z) -{ 1 }-> mark(and(isNat(V1), isNatIList(V2))) :|: V1 >= 0, V2 >= 0, z = 1 + (1 + V1 + V2)
   active(z) -{ 1 }-> mark(U31(and(isNatIList(IL), and(isNat(M), isNat(N))), IL, M, N)) :|: z = 1 + (1 + M) + (1 + N + IL), M >= 0, IL >= 0, N >= 0
   active(z) -{ 1 }-> mark(U21(isNatIList(IL))) :|: z = 1 + 0 + IL, IL >= 0
   active(z) -{ 1 }-> mark(U11(and(isNatList(L), isNat(N)), L)) :|: L >= 0, z = 1 + (1 + N + L), 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) -{ 1 }-> mark(0) :|: z = 1 + 1
   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 }-> 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 }-> U31(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 }-> U21(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> U11(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 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_U11(z, z') -{ 0 }-> U11(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_U11(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_U21(z) -{ 0 }-> U21(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_U21(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_U31(z, z', z'', z1) -{ 0 }-> U31(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_U31(z, z', z'', z1) -{ 0 }-> 0 :|: z1 = v3, v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0, v3 >= 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_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(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), X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(U31(mark(X1), X2, X3, X4)) :|: X1 >= 0, z = 1 + X1 + X2 + X3 + X4, X3 >= 0, X2 >= 0, X4 >= 0
   mark(z) -{ 1 }-> active(U21(mark(X))) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(U11(mark(X1), 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

Only complete derivations are relevant for the runtime complexity.

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

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

(28)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_zeros -> zeros
   encode_mark(z0) -> mark(encArg(z0))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_U11(z0, z1) -> U11(encArg(z0), encArg(z1))
   encode_tt -> tt
   encode_s(z0) -> s(encArg(z0))
   encode_length(z0) -> length(encArg(z0))
   encode_U21(z0) -> U21(encArg(z0))
   encode_nil -> nil
   encode_U31(z0, z1, z2, z3) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encode_take(z0, z1) -> take(encArg(z0), encArg(z1))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_isNatList(z0) -> isNatList(encArg(z0))
   encode_isNatIList(z0) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(zeros) -> c
   ENCARG(0) -> c1
   ENCARG(tt) -> 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_cons(z0, z1)) -> c6(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCODE_ACTIVE(z0) -> c17(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_ZEROS -> c18
   ENCODE_MARK(z0) -> c19(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_CONS(z0, z1) -> c20(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_0 -> c21
   ENCODE_U11(z0, z1) -> c22(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_TT -> c23
   ENCODE_S(z0) -> c24(S(encArg(z0)), ENCARG(z0))
   ENCODE_LENGTH(z0) -> c25(LENGTH(encArg(z0)), ENCARG(z0))
   ENCODE_U21(z0) -> c26(U21'(encArg(z0)), ENCARG(z0))
   ENCODE_NIL -> c27
   ENCODE_U31(z0, z1, z2, z3) -> c28(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCODE_TAKE(z0, z1) -> c29(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_AND(z0, z1) -> c30(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ISNAT(z0) -> c31(ISNAT(encArg(z0)), ENCARG(z0))
   ENCODE_ISNATLIST(z0) -> c32(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCODE_ISNATILIST(z0) -> c33(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)), CONS(0, zeros))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), S(length(z0)), LENGTH(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), AND(isNat(z0), isNatList(z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(nil)) -> c48(MARK(0))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), U11'(and(isNatList(z1), isNat(z0)), z1), AND(isNatList(z1), isNat(z0)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), U21'(isNatIList(z0)), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), U31'(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1), AND(isNatIList(z2), and(isNat(z0), isNat(z1))), ISNATILIST(z2), AND(isNat(z0), isNat(z1)), ISNAT(z0), ISNAT(z1))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(0) -> c54(ACTIVE(0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(tt) -> c56(ACTIVE(tt))
   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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(nil) -> c60(ACTIVE(nil))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
S tuples:
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)), CONS(0, zeros))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), S(length(z0)), LENGTH(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), AND(isNat(z0), isNatList(z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(nil)) -> c48(MARK(0))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), U11'(and(isNatList(z1), isNat(z0)), z1), AND(isNatList(z1), isNat(z0)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), U21'(isNatIList(z0)), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), U31'(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1), AND(isNatIList(z2), and(isNat(z0), isNat(z1))), ISNATILIST(z2), AND(isNat(z0), isNat(z1)), ISNAT(z0), ISNAT(z1))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(0) -> c54(ACTIVE(0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(tt) -> c56(ACTIVE(tt))
   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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(nil) -> c60(ACTIVE(nil))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
K tuples:none
Defined Rule Symbols:   active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1, encArg_1, encode_active_1, encode_zeros, encode_mark_1, encode_cons_2, encode_0, encode_U11_2, encode_tt, encode_s_1, encode_length_1, encode_U21_1, encode_nil, encode_U31_4, encode_take_2, encode_and_2, encode_isNat_1, encode_isNatList_1, encode_isNatIList_1

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_ZEROS, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_0, ENCODE_U11_2, ENCODE_TT, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_NIL, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1

Compound Symbols:   c, c1, c2, c3, c4_2, c5_2, c6_3, c7_3, c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c17_2, c18, c19_2, c20_3, c21, c22_3, c23, c24_2, c25_2, c26_2, c27, c28_5, c29_3, c30_3, c31_2, c32_2, c33_2, c34_2, c35_3, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c44_4, c45_1, c46_4, c47_4, c48_1, c49_5, c50_3, c51_7, c52_1, c53_3, c54_1, c55_3, c56_1, c57_3, c58_3, c59_3, c60_1, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1


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

(29) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 8 trailing nodes:
   ENCARG(nil) -> c3
   ENCODE_NIL -> c27
   ENCODE_0 -> c21
   ENCARG(tt) -> c2
   ENCARG(0) -> c1
   ENCODE_ZEROS -> c18
   ENCODE_TT -> c23
   ENCARG(zeros) -> c

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

(30)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_zeros -> zeros
   encode_mark(z0) -> mark(encArg(z0))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_U11(z0, z1) -> U11(encArg(z0), encArg(z1))
   encode_tt -> tt
   encode_s(z0) -> s(encArg(z0))
   encode_length(z0) -> length(encArg(z0))
   encode_U21(z0) -> U21(encArg(z0))
   encode_nil -> nil
   encode_U31(z0, z1, z2, z3) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encode_take(z0, z1) -> take(encArg(z0), encArg(z1))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_isNatList(z0) -> isNatList(encArg(z0))
   encode_isNatIList(z0) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c4(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c6(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCODE_ACTIVE(z0) -> c17(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_MARK(z0) -> c19(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_CONS(z0, z1) -> c20(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_U11(z0, z1) -> c22(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_S(z0) -> c24(S(encArg(z0)), ENCARG(z0))
   ENCODE_LENGTH(z0) -> c25(LENGTH(encArg(z0)), ENCARG(z0))
   ENCODE_U21(z0) -> c26(U21'(encArg(z0)), ENCARG(z0))
   ENCODE_U31(z0, z1, z2, z3) -> c28(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCODE_TAKE(z0, z1) -> c29(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_AND(z0, z1) -> c30(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ISNAT(z0) -> c31(ISNAT(encArg(z0)), ENCARG(z0))
   ENCODE_ISNATLIST(z0) -> c32(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCODE_ISNATILIST(z0) -> c33(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)), CONS(0, zeros))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), S(length(z0)), LENGTH(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), AND(isNat(z0), isNatList(z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(nil)) -> c48(MARK(0))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), U11'(and(isNatList(z1), isNat(z0)), z1), AND(isNatList(z1), isNat(z0)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), U21'(isNatIList(z0)), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), U31'(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1), AND(isNatIList(z2), and(isNat(z0), isNat(z1))), ISNATILIST(z2), AND(isNat(z0), isNat(z1)), ISNAT(z0), ISNAT(z1))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(0) -> c54(ACTIVE(0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(tt) -> c56(ACTIVE(tt))
   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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(nil) -> c60(ACTIVE(nil))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
S tuples:
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)), CONS(0, zeros))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), S(length(z0)), LENGTH(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), AND(isNat(z0), isNatList(z1)), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), AND(isNat(z0), isNatIList(z1)), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(nil)) -> c48(MARK(0))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), U11'(and(isNatList(z1), isNat(z0)), z1), AND(isNatList(z1), isNat(z0)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), U21'(isNatIList(z0)), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), U31'(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1), AND(isNatIList(z2), and(isNat(z0), isNat(z1))), ISNATILIST(z2), AND(isNat(z0), isNat(z1)), ISNAT(z0), ISNAT(z1))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(0) -> c54(ACTIVE(0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(tt) -> c56(ACTIVE(tt))
   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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(nil) -> c60(ACTIVE(nil))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
K tuples:none
Defined Rule Symbols:   active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1, encArg_1, encode_active_1, encode_zeros, encode_mark_1, encode_cons_2, encode_0, encode_U11_2, encode_tt, encode_s_1, encode_length_1, encode_U21_1, encode_nil, encode_U31_4, encode_take_2, encode_and_2, encode_isNat_1, encode_isNatList_1, encode_isNatIList_1

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1

Compound Symbols:   c4_2, c5_2, c6_3, c7_3, c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c17_2, c19_2, c20_3, c22_3, c24_2, c25_2, c26_2, c28_5, c29_3, c30_3, c31_2, c32_2, c33_2, c34_2, c35_3, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c44_4, c45_1, c46_4, c47_4, c48_1, c49_5, c50_3, c51_7, c52_1, c53_3, c54_1, c55_3, c56_1, c57_3, c58_3, c59_3, c60_1, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1


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

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

(32)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_zeros -> zeros
   encode_mark(z0) -> mark(encArg(z0))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_U11(z0, z1) -> U11(encArg(z0), encArg(z1))
   encode_tt -> tt
   encode_s(z0) -> s(encArg(z0))
   encode_length(z0) -> length(encArg(z0))
   encode_U21(z0) -> U21(encArg(z0))
   encode_nil -> nil
   encode_U31(z0, z1, z2, z3) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encode_take(z0, z1) -> take(encArg(z0), encArg(z1))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_isNatList(z0) -> isNatList(encArg(z0))
   encode_isNatIList(z0) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c4(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c6(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ENCODE_ACTIVE(z0) -> c17(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_MARK(z0) -> c19(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_CONS(z0, z1) -> c20(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_U11(z0, z1) -> c22(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_S(z0) -> c24(S(encArg(z0)), ENCARG(z0))
   ENCODE_LENGTH(z0) -> c25(LENGTH(encArg(z0)), ENCARG(z0))
   ENCODE_U21(z0) -> c26(U21'(encArg(z0)), ENCARG(z0))
   ENCODE_U31(z0, z1, z2, z3) -> c28(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCODE_TAKE(z0, z1) -> c29(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_AND(z0, z1) -> c30(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ISNAT(z0) -> c31(ISNAT(encArg(z0)), ENCARG(z0))
   ENCODE_ISNATLIST(z0) -> c32(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCODE_ISNATILIST(z0) -> c33(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1, encArg_1, encode_active_1, encode_zeros, encode_mark_1, encode_cons_2, encode_0, encode_U11_2, encode_tt, encode_s_1, encode_length_1, encode_U21_1, encode_nil, encode_U31_4, encode_take_2, encode_and_2, encode_isNat_1, encode_isNatList_1, encode_isNatIList_1

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1

Compound Symbols:   c4_2, c5_2, c6_3, c7_3, c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c17_2, c19_2, c20_3, c22_3, c24_2, c25_2, c26_2, c28_5, c29_3, c30_3, c31_2, c32_2, c33_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60


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

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

(34)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_zeros -> zeros
   encode_mark(z0) -> mark(encArg(z0))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_U11(z0, z1) -> U11(encArg(z0), encArg(z1))
   encode_tt -> tt
   encode_s(z0) -> s(encArg(z0))
   encode_length(z0) -> length(encArg(z0))
   encode_U21(z0) -> U21(encArg(z0))
   encode_nil -> nil
   encode_U31(z0, z1, z2, z3) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encode_take(z0, z1) -> take(encArg(z0), encArg(z1))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_isNatList(z0) -> isNatList(encArg(z0))
   encode_isNatIList(z0) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c4(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c6(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_ACTIVE(z0) -> c(ENCARG(z0))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_MARK(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_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(ENCARG(z0))
   ENCODE_U11(z0, z1) -> c(ENCARG(z1))
   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_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U21(z0) -> c(ENCARG(z0))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_U31(z0, z1, z2, z3) -> c(ENCARG(z0))
   ENCODE_U31(z0, z1, z2, z3) -> c(ENCARG(z1))
   ENCODE_U31(z0, z1, z2, z3) -> c(ENCARG(z2))
   ENCODE_U31(z0, z1, z2, z3) -> c(ENCARG(z3))
   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_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(ENCARG(z0))
   ENCODE_AND(z0, z1) -> c(ENCARG(z1))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ENCARG(z0))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ENCARG(z0))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ENCARG(z0))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1, encArg_1, encode_active_1, encode_zeros, encode_mark_1, encode_cons_2, encode_0, encode_U11_2, encode_tt, encode_s_1, encode_length_1, encode_U21_1, encode_nil, encode_U31_4, encode_take_2, encode_and_2, encode_isNat_1, encode_isNatList_1, encode_isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c4_2, c5_2, c6_3, c7_3, c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1


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

(35) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 20 leading nodes:
   ENCODE_ACTIVE(z0) -> c(ENCARG(z0))
   ENCODE_MARK(z0) -> c(ENCARG(z0))
   ENCODE_CONS(z0, z1) -> c(ENCARG(z0))
   ENCODE_CONS(z0, z1) -> c(ENCARG(z1))
   ENCODE_U11(z0, z1) -> c(ENCARG(z0))
   ENCODE_U11(z0, z1) -> c(ENCARG(z1))
   ENCODE_S(z0) -> c(ENCARG(z0))
   ENCODE_LENGTH(z0) -> c(ENCARG(z0))
   ENCODE_U21(z0) -> c(ENCARG(z0))
   ENCODE_U31(z0, z1, z2, z3) -> c(ENCARG(z0))
   ENCODE_U31(z0, z1, z2, z3) -> c(ENCARG(z1))
   ENCODE_U31(z0, z1, z2, z3) -> c(ENCARG(z2))
   ENCODE_U31(z0, z1, z2, z3) -> c(ENCARG(z3))
   ENCODE_TAKE(z0, z1) -> c(ENCARG(z0))
   ENCODE_TAKE(z0, z1) -> c(ENCARG(z1))
   ENCODE_AND(z0, z1) -> c(ENCARG(z0))
   ENCODE_AND(z0, z1) -> c(ENCARG(z1))
   ENCODE_ISNAT(z0) -> c(ENCARG(z0))
   ENCODE_ISNATLIST(z0) -> c(ENCARG(z0))
   ENCODE_ISNATILIST(z0) -> c(ENCARG(z0))

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

(36)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_zeros -> zeros
   encode_mark(z0) -> mark(encArg(z0))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_U11(z0, z1) -> U11(encArg(z0), encArg(z1))
   encode_tt -> tt
   encode_s(z0) -> s(encArg(z0))
   encode_length(z0) -> length(encArg(z0))
   encode_U21(z0) -> U21(encArg(z0))
   encode_nil -> nil
   encode_U31(z0, z1, z2, z3) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encode_take(z0, z1) -> take(encArg(z0), encArg(z1))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_isNatList(z0) -> isNatList(encArg(z0))
   encode_isNatIList(z0) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c4(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c6(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1, encArg_1, encode_active_1, encode_zeros, encode_mark_1, encode_cons_2, encode_0, encode_U11_2, encode_tt, encode_s_1, encode_length_1, encode_U21_1, encode_nil, encode_U31_4, encode_take_2, encode_and_2, encode_isNat_1, encode_isNatList_1, encode_isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c4_2, c5_2, c6_3, c7_3, c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1


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

(37) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_active(z0) -> active(encArg(z0))
   encode_zeros -> zeros
   encode_mark(z0) -> mark(encArg(z0))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_U11(z0, z1) -> U11(encArg(z0), encArg(z1))
   encode_tt -> tt
   encode_s(z0) -> s(encArg(z0))
   encode_length(z0) -> length(encArg(z0))
   encode_U21(z0) -> U21(encArg(z0))
   encode_nil -> nil
   encode_U31(z0, z1, z2, z3) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encode_take(z0, z1) -> take(encArg(z0), encArg(z1))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_isNatList(z0) -> isNatList(encArg(z0))
   encode_isNatIList(z0) -> isNatIList(encArg(z0))

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c4(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c6(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c4_2, c5_2, c6_3, c7_3, c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, 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(zeros)) -> c4(ACTIVE(zeros), ENCARG(zeros))
   ENCARG(cons_active(0)) -> c4(ACTIVE(0), ENCARG(0))
   ENCARG(cons_active(tt)) -> c4(ACTIVE(tt), ENCARG(tt))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c6(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros), ENCARG(zeros))
   ENCARG(cons_active(0)) -> c4(ACTIVE(0), ENCARG(0))
   ENCARG(cons_active(tt)) -> c4(ACTIVE(tt), ENCARG(tt))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c5_2, c6_3, c7_3, c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, 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(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c6(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c5_2, c6_3, c7_3, c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2


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

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_mark(z0)) -> c5(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_cons(z0, z1)) -> c6(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c5_2, c6_3, c7_3, c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, 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(zeros)) -> c5(MARK(zeros), ENCARG(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0), ENCARG(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt), ENCARG(tt))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_cons(z0, z1)) -> c6(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_active(zeros)) -> c4(ACTIVE(zeros))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros), ENCARG(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0), ENCARG(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt), ENCARG(tt))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c6_3, c7_3, c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, 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(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_cons(z0, z1)) -> c6(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c6_3, c7_3, c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1


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

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_cons(z0, z1)) -> c6(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c7_3, c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3


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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c7_3, c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, 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_U11(z0, z1)) -> c7(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3


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

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c8_2, c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2


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

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_s(z0)) -> c8(S(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_s(zeros)) -> c8(S(zeros), ENCARG(zeros))
   ENCARG(cons_s(0)) -> c8(S(0), ENCARG(0))
   ENCARG(cons_s(tt)) -> c8(S(tt), ENCARG(tt))
   ENCARG(cons_s(nil)) -> c8(S(nil), ENCARG(nil))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))

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

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(zeros)) -> c8(S(zeros), ENCARG(zeros))
   ENCARG(cons_s(0)) -> c8(S(0), ENCARG(0))
   ENCARG(cons_s(tt)) -> c8(S(tt), ENCARG(tt))
   ENCARG(cons_s(nil)) -> c8(S(nil), ENCARG(nil))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2


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

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

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c9_2, c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2


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

(61) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_length(z0)) -> c9(LENGTH(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_length(zeros)) -> c9(LENGTH(zeros), ENCARG(zeros))
   ENCARG(cons_length(0)) -> c9(LENGTH(0), ENCARG(0))
   ENCARG(cons_length(tt)) -> c9(LENGTH(tt), ENCARG(tt))
   ENCARG(cons_length(nil)) -> c9(LENGTH(nil), ENCARG(nil))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))

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

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(zeros)) -> c9(LENGTH(zeros), ENCARG(zeros))
   ENCARG(cons_length(0)) -> c9(LENGTH(0), ENCARG(0))
   ENCARG(cons_length(tt)) -> c9(LENGTH(tt), ENCARG(tt))
   ENCARG(cons_length(nil)) -> c9(LENGTH(nil), ENCARG(nil))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2


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

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

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

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c10_2, c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2


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

(65) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_U21(z0)) -> c10(U21'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_U21(zeros)) -> c10(U21'(zeros), ENCARG(zeros))
   ENCARG(cons_U21(0)) -> c10(U21'(0), ENCARG(0))
   ENCARG(cons_U21(tt)) -> c10(U21'(tt), ENCARG(tt))
   ENCARG(cons_U21(nil)) -> c10(U21'(nil), ENCARG(nil))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))

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

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(zeros)) -> c10(U21'(zeros), ENCARG(zeros))
   ENCARG(cons_U21(0)) -> c10(U21'(0), ENCARG(0))
   ENCARG(cons_U21(tt)) -> c10(U21'(tt), ENCARG(tt))
   ENCARG(cons_U21(nil)) -> c10(U21'(nil), ENCARG(nil))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2


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

(67) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCARG(cons_U21(nil)) -> c10(U21'(nil), ENCARG(nil))
   ENCARG(cons_U21(zeros)) -> c10(U21'(zeros), ENCARG(zeros))
   ENCARG(cons_U21(0)) -> c10(U21'(0), ENCARG(0))
   ENCARG(cons_U21(tt)) -> c10(U21'(tt), ENCARG(tt))

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

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3))
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c11_5, c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2


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(69) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_U31(z0, z1, z2, z3)) -> c11(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), ENCARG(z0), ENCARG(z1), ENCARG(z2), ENCARG(z3)) by 
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(zeros))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(0))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(tt))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(nil))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(zeros), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(0), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(tt), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(nil), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(zeros), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(tt), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(nil), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(zeros), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(0), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(tt), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(nil), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))

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

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(zeros))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(0))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(tt))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(nil))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(zeros), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(0), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(tt), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(nil), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(zeros), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(tt), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(nil), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(zeros), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(0), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(tt), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(nil), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5


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

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

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c12_3, c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4


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(73) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_take(z0, z1)) -> c12(TAKE(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))

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

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3


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

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

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c13_3, c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2


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

(77) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_and(z0, z1)) -> c13(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))

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

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0), ENCARG(zeros))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(zeros), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, 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(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c14_2, c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2


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

(81) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_isNat(z0)) -> c14(ISNAT(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_isNat(zeros)) -> c14(ISNAT(zeros), ENCARG(zeros))
   ENCARG(cons_isNat(0)) -> c14(ISNAT(0), ENCARG(0))
   ENCARG(cons_isNat(tt)) -> c14(ISNAT(tt), ENCARG(tt))
   ENCARG(cons_isNat(nil)) -> c14(ISNAT(nil), ENCARG(nil))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))

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

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(zeros)) -> c14(ISNAT(zeros), ENCARG(zeros))
   ENCARG(cons_isNat(0)) -> c14(ISNAT(0), ENCARG(0))
   ENCARG(cons_isNat(tt)) -> c14(ISNAT(tt), ENCARG(tt))
   ENCARG(cons_isNat(nil)) -> c14(ISNAT(nil), ENCARG(nil))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2


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

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

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

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0))
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c15_2, c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2


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

(85) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_isNatList(z0)) -> c15(ISNATLIST(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_isNatList(zeros)) -> c15(ISNATLIST(zeros), ENCARG(zeros))
   ENCARG(cons_isNatList(0)) -> c15(ISNATLIST(0), ENCARG(0))
   ENCARG(cons_isNatList(tt)) -> c15(ISNATLIST(tt), ENCARG(tt))
   ENCARG(cons_isNatList(nil)) -> c15(ISNATLIST(nil), ENCARG(nil))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))

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

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(zeros)) -> c15(ISNATLIST(zeros), ENCARG(zeros))
   ENCARG(cons_isNatList(0)) -> c15(ISNATLIST(0), ENCARG(0))
   ENCARG(cons_isNatList(tt)) -> c15(ISNATLIST(tt), ENCARG(tt))
   ENCARG(cons_isNatList(nil)) -> c15(ISNATLIST(nil), ENCARG(nil))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2


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

(87) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCARG(cons_isNatList(zeros)) -> c15(ISNATLIST(zeros), ENCARG(zeros))
   ENCARG(cons_isNatList(0)) -> c15(ISNATLIST(0), ENCARG(0))
   ENCARG(cons_isNatList(tt)) -> c15(ISNATLIST(tt), ENCARG(tt))
   ENCARG(cons_isNatList(nil)) -> c15(ISNATLIST(nil), ENCARG(nil))

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

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0))
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1

Compound Symbols:   c16_2, c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2


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

(89) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_isNatIList(z0)) -> c16(ISNATILIST(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_isNatIList(zeros)) -> c16(ISNATILIST(zeros), ENCARG(zeros))
   ENCARG(cons_isNatIList(0)) -> c16(ISNATILIST(0), ENCARG(0))
   ENCARG(cons_isNatIList(tt)) -> c16(ISNATILIST(tt), ENCARG(tt))
   ENCARG(cons_isNatIList(nil)) -> c16(ISNATILIST(nil), ENCARG(nil))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))

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

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(zeros)) -> c16(ISNATILIST(zeros), ENCARG(zeros))
   ENCARG(cons_isNatIList(0)) -> c16(ISNATILIST(0), ENCARG(0))
   ENCARG(cons_isNatIList(tt)) -> c16(ISNATILIST(tt), ENCARG(tt))
   ENCARG(cons_isNatIList(nil)) -> c16(ISNATILIST(nil), ENCARG(nil))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2


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

(91) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCARG(cons_isNatIList(nil)) -> c16(ISNATILIST(nil), ENCARG(nil))
   ENCARG(cons_isNatIList(tt)) -> c16(ISNATILIST(tt), ENCARG(tt))
   ENCARG(cons_isNatIList(0)) -> c16(ISNATILIST(0), ENCARG(0))
   ENCARG(cons_isNatIList(zeros)) -> c16(ISNATILIST(zeros), ENCARG(zeros))

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

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c53_3, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2


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

(93) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(cons(z0, z1)) -> c53(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) by 
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(z0, z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))

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

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(z0, z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(z0, z1)) -> c53(ACTIVE(cons(z0, z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1


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

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

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c55_3, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2


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

(97) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U11(z0, z1)) -> c55(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) by 
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))

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

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   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(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c57_3, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1


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

(99) 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(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))

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

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   MARK(s(z0)) -> c57(ACTIVE(s(z0)), S(mark(z0)), MARK(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   MARK(s(z0)) -> c57(ACTIVE(s(z0)), S(mark(z0)), MARK(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3


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

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

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(length(z0)) -> c58(ACTIVE(length(mark(z0))), LENGTH(mark(z0)), MARK(z0))
   MARK(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c58_3, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2


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

(103) 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(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))

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

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c59_3, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3


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(105) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U21(z0)) -> c59(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) by 
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))

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

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c61_3, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3


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

(107) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(mark(z0), z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0)) by 
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))

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

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(take(z0, z1)) -> c62(ACTIVE(take(mark(z0), mark(z1))), TAKE(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c62_4, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1


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(109) 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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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))

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

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c63_3, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4


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

(111) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(and(z0, z1)) -> c63(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) by 
   MARK(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))

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

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

(113) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) by 
   ENCODE_ACTIVE(zeros) -> c(ACTIVE(zeros))
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))
   ENCODE_ACTIVE(tt) -> c(ACTIVE(tt))
   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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))

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

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
   ENCODE_ACTIVE(zeros) -> c(ACTIVE(zeros))
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))
   ENCODE_ACTIVE(tt) -> c(ACTIVE(tt))
   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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

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

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

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

(117) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_MARK(z0) -> c(MARK(encArg(z0))) by 
   ENCODE_MARK(zeros) -> c(MARK(zeros))
   ENCODE_MARK(0) -> c(MARK(0))
   ENCODE_MARK(tt) -> c(MARK(tt))
   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_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U11(z0, z1)) -> c(MARK(U11(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_U21(z0)) -> c(MARK(U21(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1, z2, z3)) -> c(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))

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

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_MARK(zeros) -> c(MARK(zeros))
   ENCODE_MARK(0) -> c(MARK(0))
   ENCODE_MARK(tt) -> c(MARK(tt))
   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_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U11(z0, z1)) -> c(MARK(U11(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_U21(z0)) -> c(MARK(U21(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1, z2, z3)) -> c(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

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

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

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U11(z0, z1)) -> c(MARK(U11(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_U21(z0)) -> c(MARK(U21(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1, z2, z3)) -> c(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

(121) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) by 
   ENCODE_CONS(x0, zeros) -> c(CONS(encArg(x0), zeros))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, tt) -> c(CONS(encArg(x0), tt))
   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_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_U11(z0, z1)) -> c(CONS(encArg(x0), U11(encArg(z0), encArg(z1))))
   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_U21(z0)) -> c(CONS(encArg(x0), U21(encArg(z0))))
   ENCODE_CONS(x0, cons_U31(z0, z1, z2, z3)) -> c(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_CONS(x0, cons_take(z0, z1)) -> c(CONS(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_and(z0, z1)) -> c(CONS(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_isNat(z0)) -> c(CONS(encArg(x0), isNat(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatList(z0)) -> c(CONS(encArg(x0), isNatList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatIList(z0)) -> c(CONS(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_CONS(zeros, x1) -> c(CONS(zeros, encArg(x1)))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(tt, x1) -> c(CONS(tt, 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_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_U11(z0, z1), x1) -> c(CONS(U11(encArg(z0), encArg(z1)), 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_U21(z0), x1) -> c(CONS(U21(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_U31(z0, z1, z2, z3), x1) -> c(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_CONS(cons_take(z0, z1), x1) -> c(CONS(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_and(z0, z1), x1) -> c(CONS(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_isNat(z0), x1) -> c(CONS(isNat(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatList(z0), x1) -> c(CONS(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatIList(z0), x1) -> c(CONS(isNatIList(encArg(z0)), encArg(x1)))

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

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U11(z0, z1)) -> c(MARK(U11(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_U21(z0)) -> c(MARK(U21(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1, z2, z3)) -> c(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_CONS(x0, zeros) -> c(CONS(encArg(x0), zeros))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, tt) -> c(CONS(encArg(x0), tt))
   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_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_U11(z0, z1)) -> c(CONS(encArg(x0), U11(encArg(z0), encArg(z1))))
   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_U21(z0)) -> c(CONS(encArg(x0), U21(encArg(z0))))
   ENCODE_CONS(x0, cons_U31(z0, z1, z2, z3)) -> c(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_CONS(x0, cons_take(z0, z1)) -> c(CONS(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_and(z0, z1)) -> c(CONS(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_isNat(z0)) -> c(CONS(encArg(x0), isNat(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatList(z0)) -> c(CONS(encArg(x0), isNatList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatIList(z0)) -> c(CONS(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_CONS(zeros, x1) -> c(CONS(zeros, encArg(x1)))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(tt, x1) -> c(CONS(tt, 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_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_U11(z0, z1), x1) -> c(CONS(U11(encArg(z0), encArg(z1)), 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_U21(z0), x1) -> c(CONS(U21(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_U31(z0, z1, z2, z3), x1) -> c(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_CONS(cons_take(z0, z1), x1) -> c(CONS(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_and(z0, z1), x1) -> c(CONS(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_isNat(z0), x1) -> c(CONS(isNat(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatList(z0), x1) -> c(CONS(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatIList(z0), x1) -> c(CONS(isNatIList(encArg(z0)), encArg(x1)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

(123) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) by 
   ENCODE_U11(x0, zeros) -> c(U11'(encArg(x0), zeros))
   ENCODE_U11(x0, 0) -> c(U11'(encArg(x0), 0))
   ENCODE_U11(x0, tt) -> c(U11'(encArg(x0), tt))
   ENCODE_U11(x0, nil) -> c(U11'(encArg(x0), nil))
   ENCODE_U11(x0, cons_active(z0)) -> c(U11'(encArg(x0), active(encArg(z0))))
   ENCODE_U11(x0, cons_mark(z0)) -> c(U11'(encArg(x0), mark(encArg(z0))))
   ENCODE_U11(x0, cons_cons(z0, z1)) -> c(U11'(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_U11(z0, z1)) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_s(z0)) -> c(U11'(encArg(x0), s(encArg(z0))))
   ENCODE_U11(x0, cons_length(z0)) -> c(U11'(encArg(x0), length(encArg(z0))))
   ENCODE_U11(x0, cons_U21(z0)) -> c(U11'(encArg(x0), U21(encArg(z0))))
   ENCODE_U11(x0, cons_U31(z0, z1, z2, z3)) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U11(x0, cons_take(z0, z1)) -> c(U11'(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_and(z0, z1)) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_isNat(z0)) -> c(U11'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U11(x0, cons_isNatList(z0)) -> c(U11'(encArg(x0), isNatList(encArg(z0))))
   ENCODE_U11(x0, cons_isNatIList(z0)) -> c(U11'(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_U11(zeros, x1) -> c(U11'(zeros, encArg(x1)))
   ENCODE_U11(0, x1) -> c(U11'(0, encArg(x1)))
   ENCODE_U11(tt, x1) -> c(U11'(tt, encArg(x1)))
   ENCODE_U11(nil, x1) -> c(U11'(nil, encArg(x1)))
   ENCODE_U11(cons_active(z0), x1) -> c(U11'(active(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_mark(z0), x1) -> c(U11'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_cons(z0, z1), x1) -> c(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_U11(z0, z1), x1) -> c(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_s(z0), x1) -> c(U11'(s(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_length(z0), x1) -> c(U11'(length(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U21(z0), x1) -> c(U11'(U21(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U31(z0, z1, z2, z3), x1) -> c(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_U11(cons_take(z0, z1), x1) -> c(U11'(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_and(z0, z1), x1) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_isNat(z0), x1) -> c(U11'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatList(z0), x1) -> c(U11'(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatIList(z0), x1) -> c(U11'(isNatIList(encArg(z0)), encArg(x1)))

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

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U11(z0, z1)) -> c(MARK(U11(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_U21(z0)) -> c(MARK(U21(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1, z2, z3)) -> c(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_CONS(x0, zeros) -> c(CONS(encArg(x0), zeros))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, tt) -> c(CONS(encArg(x0), tt))
   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_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_U11(z0, z1)) -> c(CONS(encArg(x0), U11(encArg(z0), encArg(z1))))
   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_U21(z0)) -> c(CONS(encArg(x0), U21(encArg(z0))))
   ENCODE_CONS(x0, cons_U31(z0, z1, z2, z3)) -> c(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_CONS(x0, cons_take(z0, z1)) -> c(CONS(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_and(z0, z1)) -> c(CONS(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_isNat(z0)) -> c(CONS(encArg(x0), isNat(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatList(z0)) -> c(CONS(encArg(x0), isNatList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatIList(z0)) -> c(CONS(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_CONS(zeros, x1) -> c(CONS(zeros, encArg(x1)))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(tt, x1) -> c(CONS(tt, 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_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_U11(z0, z1), x1) -> c(CONS(U11(encArg(z0), encArg(z1)), 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_U21(z0), x1) -> c(CONS(U21(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_U31(z0, z1, z2, z3), x1) -> c(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_CONS(cons_take(z0, z1), x1) -> c(CONS(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_and(z0, z1), x1) -> c(CONS(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_isNat(z0), x1) -> c(CONS(isNat(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatList(z0), x1) -> c(CONS(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatIList(z0), x1) -> c(CONS(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_U11(x0, zeros) -> c(U11'(encArg(x0), zeros))
   ENCODE_U11(x0, 0) -> c(U11'(encArg(x0), 0))
   ENCODE_U11(x0, tt) -> c(U11'(encArg(x0), tt))
   ENCODE_U11(x0, nil) -> c(U11'(encArg(x0), nil))
   ENCODE_U11(x0, cons_active(z0)) -> c(U11'(encArg(x0), active(encArg(z0))))
   ENCODE_U11(x0, cons_mark(z0)) -> c(U11'(encArg(x0), mark(encArg(z0))))
   ENCODE_U11(x0, cons_cons(z0, z1)) -> c(U11'(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_U11(z0, z1)) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_s(z0)) -> c(U11'(encArg(x0), s(encArg(z0))))
   ENCODE_U11(x0, cons_length(z0)) -> c(U11'(encArg(x0), length(encArg(z0))))
   ENCODE_U11(x0, cons_U21(z0)) -> c(U11'(encArg(x0), U21(encArg(z0))))
   ENCODE_U11(x0, cons_U31(z0, z1, z2, z3)) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U11(x0, cons_take(z0, z1)) -> c(U11'(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_and(z0, z1)) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_isNat(z0)) -> c(U11'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U11(x0, cons_isNatList(z0)) -> c(U11'(encArg(x0), isNatList(encArg(z0))))
   ENCODE_U11(x0, cons_isNatIList(z0)) -> c(U11'(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_U11(zeros, x1) -> c(U11'(zeros, encArg(x1)))
   ENCODE_U11(0, x1) -> c(U11'(0, encArg(x1)))
   ENCODE_U11(tt, x1) -> c(U11'(tt, encArg(x1)))
   ENCODE_U11(nil, x1) -> c(U11'(nil, encArg(x1)))
   ENCODE_U11(cons_active(z0), x1) -> c(U11'(active(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_mark(z0), x1) -> c(U11'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_cons(z0, z1), x1) -> c(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_U11(z0, z1), x1) -> c(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_s(z0), x1) -> c(U11'(s(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_length(z0), x1) -> c(U11'(length(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U21(z0), x1) -> c(U11'(U21(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U31(z0, z1, z2, z3), x1) -> c(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_U11(cons_take(z0, z1), x1) -> c(U11'(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_and(z0, z1), x1) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_isNat(z0), x1) -> c(U11'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatList(z0), x1) -> c(U11'(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatIList(z0), x1) -> c(U11'(isNatIList(encArg(z0)), encArg(x1)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

(125) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_S(z0) -> c(S(encArg(z0))) by 
   ENCODE_S(zeros) -> c(S(zeros))
   ENCODE_S(0) -> c(S(0))
   ENCODE_S(tt) -> c(S(tt))
   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_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U11(z0, z1)) -> c(S(U11(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_U21(z0)) -> c(S(U21(encArg(z0))))
   ENCODE_S(cons_U31(z0, z1, z2, z3)) -> c(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))

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

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U11(z0, z1)) -> c(MARK(U11(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_U21(z0)) -> c(MARK(U21(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1, z2, z3)) -> c(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_CONS(x0, zeros) -> c(CONS(encArg(x0), zeros))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, tt) -> c(CONS(encArg(x0), tt))
   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_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_U11(z0, z1)) -> c(CONS(encArg(x0), U11(encArg(z0), encArg(z1))))
   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_U21(z0)) -> c(CONS(encArg(x0), U21(encArg(z0))))
   ENCODE_CONS(x0, cons_U31(z0, z1, z2, z3)) -> c(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_CONS(x0, cons_take(z0, z1)) -> c(CONS(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_and(z0, z1)) -> c(CONS(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_isNat(z0)) -> c(CONS(encArg(x0), isNat(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatList(z0)) -> c(CONS(encArg(x0), isNatList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatIList(z0)) -> c(CONS(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_CONS(zeros, x1) -> c(CONS(zeros, encArg(x1)))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(tt, x1) -> c(CONS(tt, 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_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_U11(z0, z1), x1) -> c(CONS(U11(encArg(z0), encArg(z1)), 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_U21(z0), x1) -> c(CONS(U21(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_U31(z0, z1, z2, z3), x1) -> c(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_CONS(cons_take(z0, z1), x1) -> c(CONS(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_and(z0, z1), x1) -> c(CONS(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_isNat(z0), x1) -> c(CONS(isNat(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatList(z0), x1) -> c(CONS(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatIList(z0), x1) -> c(CONS(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_U11(x0, zeros) -> c(U11'(encArg(x0), zeros))
   ENCODE_U11(x0, 0) -> c(U11'(encArg(x0), 0))
   ENCODE_U11(x0, tt) -> c(U11'(encArg(x0), tt))
   ENCODE_U11(x0, nil) -> c(U11'(encArg(x0), nil))
   ENCODE_U11(x0, cons_active(z0)) -> c(U11'(encArg(x0), active(encArg(z0))))
   ENCODE_U11(x0, cons_mark(z0)) -> c(U11'(encArg(x0), mark(encArg(z0))))
   ENCODE_U11(x0, cons_cons(z0, z1)) -> c(U11'(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_U11(z0, z1)) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_s(z0)) -> c(U11'(encArg(x0), s(encArg(z0))))
   ENCODE_U11(x0, cons_length(z0)) -> c(U11'(encArg(x0), length(encArg(z0))))
   ENCODE_U11(x0, cons_U21(z0)) -> c(U11'(encArg(x0), U21(encArg(z0))))
   ENCODE_U11(x0, cons_U31(z0, z1, z2, z3)) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U11(x0, cons_take(z0, z1)) -> c(U11'(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_and(z0, z1)) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_isNat(z0)) -> c(U11'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U11(x0, cons_isNatList(z0)) -> c(U11'(encArg(x0), isNatList(encArg(z0))))
   ENCODE_U11(x0, cons_isNatIList(z0)) -> c(U11'(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_U11(zeros, x1) -> c(U11'(zeros, encArg(x1)))
   ENCODE_U11(0, x1) -> c(U11'(0, encArg(x1)))
   ENCODE_U11(tt, x1) -> c(U11'(tt, encArg(x1)))
   ENCODE_U11(nil, x1) -> c(U11'(nil, encArg(x1)))
   ENCODE_U11(cons_active(z0), x1) -> c(U11'(active(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_mark(z0), x1) -> c(U11'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_cons(z0, z1), x1) -> c(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_U11(z0, z1), x1) -> c(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_s(z0), x1) -> c(U11'(s(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_length(z0), x1) -> c(U11'(length(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U21(z0), x1) -> c(U11'(U21(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U31(z0, z1, z2, z3), x1) -> c(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_U11(cons_take(z0, z1), x1) -> c(U11'(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_and(z0, z1), x1) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_isNat(z0), x1) -> c(U11'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatList(z0), x1) -> c(U11'(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatIList(z0), x1) -> c(U11'(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_S(zeros) -> c(S(zeros))
   ENCODE_S(0) -> c(S(0))
   ENCODE_S(tt) -> c(S(tt))
   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_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U11(z0, z1)) -> c(S(U11(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_U21(z0)) -> c(S(U21(encArg(z0))))
   ENCODE_S(cons_U31(z0, z1, z2, z3)) -> c(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

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

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

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0)))
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U11(z0, z1)) -> c(MARK(U11(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_U21(z0)) -> c(MARK(U21(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1, z2, z3)) -> c(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_CONS(x0, zeros) -> c(CONS(encArg(x0), zeros))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, tt) -> c(CONS(encArg(x0), tt))
   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_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_U11(z0, z1)) -> c(CONS(encArg(x0), U11(encArg(z0), encArg(z1))))
   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_U21(z0)) -> c(CONS(encArg(x0), U21(encArg(z0))))
   ENCODE_CONS(x0, cons_U31(z0, z1, z2, z3)) -> c(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_CONS(x0, cons_take(z0, z1)) -> c(CONS(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_and(z0, z1)) -> c(CONS(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_isNat(z0)) -> c(CONS(encArg(x0), isNat(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatList(z0)) -> c(CONS(encArg(x0), isNatList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatIList(z0)) -> c(CONS(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_CONS(zeros, x1) -> c(CONS(zeros, encArg(x1)))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(tt, x1) -> c(CONS(tt, 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_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_U11(z0, z1), x1) -> c(CONS(U11(encArg(z0), encArg(z1)), 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_U21(z0), x1) -> c(CONS(U21(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_U31(z0, z1, z2, z3), x1) -> c(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_CONS(cons_take(z0, z1), x1) -> c(CONS(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_and(z0, z1), x1) -> c(CONS(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_isNat(z0), x1) -> c(CONS(isNat(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatList(z0), x1) -> c(CONS(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatIList(z0), x1) -> c(CONS(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_U11(x0, zeros) -> c(U11'(encArg(x0), zeros))
   ENCODE_U11(x0, 0) -> c(U11'(encArg(x0), 0))
   ENCODE_U11(x0, tt) -> c(U11'(encArg(x0), tt))
   ENCODE_U11(x0, nil) -> c(U11'(encArg(x0), nil))
   ENCODE_U11(x0, cons_active(z0)) -> c(U11'(encArg(x0), active(encArg(z0))))
   ENCODE_U11(x0, cons_mark(z0)) -> c(U11'(encArg(x0), mark(encArg(z0))))
   ENCODE_U11(x0, cons_cons(z0, z1)) -> c(U11'(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_U11(z0, z1)) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_s(z0)) -> c(U11'(encArg(x0), s(encArg(z0))))
   ENCODE_U11(x0, cons_length(z0)) -> c(U11'(encArg(x0), length(encArg(z0))))
   ENCODE_U11(x0, cons_U21(z0)) -> c(U11'(encArg(x0), U21(encArg(z0))))
   ENCODE_U11(x0, cons_U31(z0, z1, z2, z3)) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U11(x0, cons_take(z0, z1)) -> c(U11'(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_and(z0, z1)) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_isNat(z0)) -> c(U11'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U11(x0, cons_isNatList(z0)) -> c(U11'(encArg(x0), isNatList(encArg(z0))))
   ENCODE_U11(x0, cons_isNatIList(z0)) -> c(U11'(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_U11(zeros, x1) -> c(U11'(zeros, encArg(x1)))
   ENCODE_U11(0, x1) -> c(U11'(0, encArg(x1)))
   ENCODE_U11(tt, x1) -> c(U11'(tt, encArg(x1)))
   ENCODE_U11(nil, x1) -> c(U11'(nil, encArg(x1)))
   ENCODE_U11(cons_active(z0), x1) -> c(U11'(active(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_mark(z0), x1) -> c(U11'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_cons(z0, z1), x1) -> c(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_U11(z0, z1), x1) -> c(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_s(z0), x1) -> c(U11'(s(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_length(z0), x1) -> c(U11'(length(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U21(z0), x1) -> c(U11'(U21(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U31(z0, z1, z2, z3), x1) -> c(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_U11(cons_take(z0, z1), x1) -> c(U11'(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_and(z0, z1), x1) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_isNat(z0), x1) -> c(U11'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatList(z0), x1) -> c(U11'(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatIList(z0), x1) -> c(U11'(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U11(z0, z1)) -> c(S(U11(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_U21(z0)) -> c(S(U21(encArg(z0))))
   ENCODE_S(cons_U31(z0, z1, z2, z3)) -> c(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

(129) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_LENGTH(z0) -> c(LENGTH(encArg(z0))) by 
   ENCODE_LENGTH(zeros) -> c(LENGTH(zeros))
   ENCODE_LENGTH(0) -> c(LENGTH(0))
   ENCODE_LENGTH(tt) -> c(LENGTH(tt))
   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_cons(z0, z1)) -> c(LENGTH(cons(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_U11(z0, z1)) -> c(LENGTH(U11(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_s(z0)) -> c(LENGTH(s(encArg(z0))))
   ENCODE_LENGTH(cons_length(z0)) -> c(LENGTH(length(encArg(z0))))
   ENCODE_LENGTH(cons_U21(z0)) -> c(LENGTH(U21(encArg(z0))))
   ENCODE_LENGTH(cons_U31(z0, z1, z2, z3)) -> c(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_LENGTH(cons_take(z0, z1)) -> c(LENGTH(take(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_and(z0, z1)) -> c(LENGTH(and(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_isNat(z0)) -> c(LENGTH(isNat(encArg(z0))))
   ENCODE_LENGTH(cons_isNatList(z0)) -> c(LENGTH(isNatList(encArg(z0))))
   ENCODE_LENGTH(cons_isNatIList(z0)) -> c(LENGTH(isNatIList(encArg(z0))))

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

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U11(z0, z1)) -> c(MARK(U11(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_U21(z0)) -> c(MARK(U21(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1, z2, z3)) -> c(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_CONS(x0, zeros) -> c(CONS(encArg(x0), zeros))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, tt) -> c(CONS(encArg(x0), tt))
   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_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_U11(z0, z1)) -> c(CONS(encArg(x0), U11(encArg(z0), encArg(z1))))
   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_U21(z0)) -> c(CONS(encArg(x0), U21(encArg(z0))))
   ENCODE_CONS(x0, cons_U31(z0, z1, z2, z3)) -> c(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_CONS(x0, cons_take(z0, z1)) -> c(CONS(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_and(z0, z1)) -> c(CONS(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_isNat(z0)) -> c(CONS(encArg(x0), isNat(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatList(z0)) -> c(CONS(encArg(x0), isNatList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatIList(z0)) -> c(CONS(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_CONS(zeros, x1) -> c(CONS(zeros, encArg(x1)))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(tt, x1) -> c(CONS(tt, 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_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_U11(z0, z1), x1) -> c(CONS(U11(encArg(z0), encArg(z1)), 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_U21(z0), x1) -> c(CONS(U21(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_U31(z0, z1, z2, z3), x1) -> c(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_CONS(cons_take(z0, z1), x1) -> c(CONS(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_and(z0, z1), x1) -> c(CONS(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_isNat(z0), x1) -> c(CONS(isNat(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatList(z0), x1) -> c(CONS(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatIList(z0), x1) -> c(CONS(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_U11(x0, zeros) -> c(U11'(encArg(x0), zeros))
   ENCODE_U11(x0, 0) -> c(U11'(encArg(x0), 0))
   ENCODE_U11(x0, tt) -> c(U11'(encArg(x0), tt))
   ENCODE_U11(x0, nil) -> c(U11'(encArg(x0), nil))
   ENCODE_U11(x0, cons_active(z0)) -> c(U11'(encArg(x0), active(encArg(z0))))
   ENCODE_U11(x0, cons_mark(z0)) -> c(U11'(encArg(x0), mark(encArg(z0))))
   ENCODE_U11(x0, cons_cons(z0, z1)) -> c(U11'(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_U11(z0, z1)) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_s(z0)) -> c(U11'(encArg(x0), s(encArg(z0))))
   ENCODE_U11(x0, cons_length(z0)) -> c(U11'(encArg(x0), length(encArg(z0))))
   ENCODE_U11(x0, cons_U21(z0)) -> c(U11'(encArg(x0), U21(encArg(z0))))
   ENCODE_U11(x0, cons_U31(z0, z1, z2, z3)) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U11(x0, cons_take(z0, z1)) -> c(U11'(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_and(z0, z1)) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_isNat(z0)) -> c(U11'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U11(x0, cons_isNatList(z0)) -> c(U11'(encArg(x0), isNatList(encArg(z0))))
   ENCODE_U11(x0, cons_isNatIList(z0)) -> c(U11'(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_U11(zeros, x1) -> c(U11'(zeros, encArg(x1)))
   ENCODE_U11(0, x1) -> c(U11'(0, encArg(x1)))
   ENCODE_U11(tt, x1) -> c(U11'(tt, encArg(x1)))
   ENCODE_U11(nil, x1) -> c(U11'(nil, encArg(x1)))
   ENCODE_U11(cons_active(z0), x1) -> c(U11'(active(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_mark(z0), x1) -> c(U11'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_cons(z0, z1), x1) -> c(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_U11(z0, z1), x1) -> c(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_s(z0), x1) -> c(U11'(s(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_length(z0), x1) -> c(U11'(length(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U21(z0), x1) -> c(U11'(U21(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U31(z0, z1, z2, z3), x1) -> c(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_U11(cons_take(z0, z1), x1) -> c(U11'(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_and(z0, z1), x1) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_isNat(z0), x1) -> c(U11'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatList(z0), x1) -> c(U11'(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatIList(z0), x1) -> c(U11'(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U11(z0, z1)) -> c(S(U11(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_U21(z0)) -> c(S(U21(encArg(z0))))
   ENCODE_S(cons_U31(z0, z1, z2, z3)) -> c(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
   ENCODE_LENGTH(zeros) -> c(LENGTH(zeros))
   ENCODE_LENGTH(0) -> c(LENGTH(0))
   ENCODE_LENGTH(tt) -> c(LENGTH(tt))
   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_cons(z0, z1)) -> c(LENGTH(cons(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_U11(z0, z1)) -> c(LENGTH(U11(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_s(z0)) -> c(LENGTH(s(encArg(z0))))
   ENCODE_LENGTH(cons_length(z0)) -> c(LENGTH(length(encArg(z0))))
   ENCODE_LENGTH(cons_U21(z0)) -> c(LENGTH(U21(encArg(z0))))
   ENCODE_LENGTH(cons_U31(z0, z1, z2, z3)) -> c(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_LENGTH(cons_take(z0, z1)) -> c(LENGTH(take(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_and(z0, z1)) -> c(LENGTH(and(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_isNat(z0)) -> c(LENGTH(isNat(encArg(z0))))
   ENCODE_LENGTH(cons_isNatList(z0)) -> c(LENGTH(isNatList(encArg(z0))))
   ENCODE_LENGTH(cons_isNatIList(z0)) -> c(LENGTH(isNatIList(encArg(z0))))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

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

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_U21(z0) -> c(U21'(encArg(z0)))
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U11(z0, z1)) -> c(MARK(U11(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_U21(z0)) -> c(MARK(U21(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1, z2, z3)) -> c(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_CONS(x0, zeros) -> c(CONS(encArg(x0), zeros))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, tt) -> c(CONS(encArg(x0), tt))
   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_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_U11(z0, z1)) -> c(CONS(encArg(x0), U11(encArg(z0), encArg(z1))))
   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_U21(z0)) -> c(CONS(encArg(x0), U21(encArg(z0))))
   ENCODE_CONS(x0, cons_U31(z0, z1, z2, z3)) -> c(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_CONS(x0, cons_take(z0, z1)) -> c(CONS(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_and(z0, z1)) -> c(CONS(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_isNat(z0)) -> c(CONS(encArg(x0), isNat(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatList(z0)) -> c(CONS(encArg(x0), isNatList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatIList(z0)) -> c(CONS(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_CONS(zeros, x1) -> c(CONS(zeros, encArg(x1)))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(tt, x1) -> c(CONS(tt, 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_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_U11(z0, z1), x1) -> c(CONS(U11(encArg(z0), encArg(z1)), 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_U21(z0), x1) -> c(CONS(U21(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_U31(z0, z1, z2, z3), x1) -> c(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_CONS(cons_take(z0, z1), x1) -> c(CONS(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_and(z0, z1), x1) -> c(CONS(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_isNat(z0), x1) -> c(CONS(isNat(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatList(z0), x1) -> c(CONS(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatIList(z0), x1) -> c(CONS(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_U11(x0, zeros) -> c(U11'(encArg(x0), zeros))
   ENCODE_U11(x0, 0) -> c(U11'(encArg(x0), 0))
   ENCODE_U11(x0, tt) -> c(U11'(encArg(x0), tt))
   ENCODE_U11(x0, nil) -> c(U11'(encArg(x0), nil))
   ENCODE_U11(x0, cons_active(z0)) -> c(U11'(encArg(x0), active(encArg(z0))))
   ENCODE_U11(x0, cons_mark(z0)) -> c(U11'(encArg(x0), mark(encArg(z0))))
   ENCODE_U11(x0, cons_cons(z0, z1)) -> c(U11'(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_U11(z0, z1)) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_s(z0)) -> c(U11'(encArg(x0), s(encArg(z0))))
   ENCODE_U11(x0, cons_length(z0)) -> c(U11'(encArg(x0), length(encArg(z0))))
   ENCODE_U11(x0, cons_U21(z0)) -> c(U11'(encArg(x0), U21(encArg(z0))))
   ENCODE_U11(x0, cons_U31(z0, z1, z2, z3)) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U11(x0, cons_take(z0, z1)) -> c(U11'(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_and(z0, z1)) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_isNat(z0)) -> c(U11'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U11(x0, cons_isNatList(z0)) -> c(U11'(encArg(x0), isNatList(encArg(z0))))
   ENCODE_U11(x0, cons_isNatIList(z0)) -> c(U11'(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_U11(zeros, x1) -> c(U11'(zeros, encArg(x1)))
   ENCODE_U11(0, x1) -> c(U11'(0, encArg(x1)))
   ENCODE_U11(tt, x1) -> c(U11'(tt, encArg(x1)))
   ENCODE_U11(nil, x1) -> c(U11'(nil, encArg(x1)))
   ENCODE_U11(cons_active(z0), x1) -> c(U11'(active(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_mark(z0), x1) -> c(U11'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_cons(z0, z1), x1) -> c(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_U11(z0, z1), x1) -> c(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_s(z0), x1) -> c(U11'(s(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_length(z0), x1) -> c(U11'(length(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U21(z0), x1) -> c(U11'(U21(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U31(z0, z1, z2, z3), x1) -> c(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_U11(cons_take(z0, z1), x1) -> c(U11'(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_and(z0, z1), x1) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_isNat(z0), x1) -> c(U11'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatList(z0), x1) -> c(U11'(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatIList(z0), x1) -> c(U11'(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U11(z0, z1)) -> c(S(U11(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_U21(z0)) -> c(S(U21(encArg(z0))))
   ENCODE_S(cons_U31(z0, z1, z2, z3)) -> c(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
   ENCODE_LENGTH(cons_active(z0)) -> c(LENGTH(active(encArg(z0))))
   ENCODE_LENGTH(cons_mark(z0)) -> c(LENGTH(mark(encArg(z0))))
   ENCODE_LENGTH(cons_cons(z0, z1)) -> c(LENGTH(cons(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_U11(z0, z1)) -> c(LENGTH(U11(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_s(z0)) -> c(LENGTH(s(encArg(z0))))
   ENCODE_LENGTH(cons_length(z0)) -> c(LENGTH(length(encArg(z0))))
   ENCODE_LENGTH(cons_U21(z0)) -> c(LENGTH(U21(encArg(z0))))
   ENCODE_LENGTH(cons_U31(z0, z1, z2, z3)) -> c(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_LENGTH(cons_take(z0, z1)) -> c(LENGTH(take(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_and(z0, z1)) -> c(LENGTH(and(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_isNat(z0)) -> c(LENGTH(isNat(encArg(z0))))
   ENCODE_LENGTH(cons_isNatList(z0)) -> c(LENGTH(isNatList(encArg(z0))))
   ENCODE_LENGTH(cons_isNatIList(z0)) -> c(LENGTH(isNatIList(encArg(z0))))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

(133) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_U21(z0) -> c(U21'(encArg(z0))) by 
   ENCODE_U21(zeros) -> c(U21'(zeros))
   ENCODE_U21(0) -> c(U21'(0))
   ENCODE_U21(tt) -> c(U21'(tt))
   ENCODE_U21(nil) -> c(U21'(nil))
   ENCODE_U21(cons_active(z0)) -> c(U21'(active(encArg(z0))))
   ENCODE_U21(cons_mark(z0)) -> c(U21'(mark(encArg(z0))))
   ENCODE_U21(cons_cons(z0, z1)) -> c(U21'(cons(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_U11(z0, z1)) -> c(U21'(U11(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_s(z0)) -> c(U21'(s(encArg(z0))))
   ENCODE_U21(cons_length(z0)) -> c(U21'(length(encArg(z0))))
   ENCODE_U21(cons_U21(z0)) -> c(U21'(U21(encArg(z0))))
   ENCODE_U21(cons_U31(z0, z1, z2, z3)) -> c(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U21(cons_take(z0, z1)) -> c(U21'(take(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_and(z0, z1)) -> c(U21'(and(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_isNat(z0)) -> c(U21'(isNat(encArg(z0))))
   ENCODE_U21(cons_isNatList(z0)) -> c(U21'(isNatList(encArg(z0))))
   ENCODE_U21(cons_isNatIList(z0)) -> c(U21'(isNatIList(encArg(z0))))

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

(134)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U11(z0, z1)) -> c(MARK(U11(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_U21(z0)) -> c(MARK(U21(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1, z2, z3)) -> c(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_CONS(x0, zeros) -> c(CONS(encArg(x0), zeros))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, tt) -> c(CONS(encArg(x0), tt))
   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_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_U11(z0, z1)) -> c(CONS(encArg(x0), U11(encArg(z0), encArg(z1))))
   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_U21(z0)) -> c(CONS(encArg(x0), U21(encArg(z0))))
   ENCODE_CONS(x0, cons_U31(z0, z1, z2, z3)) -> c(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_CONS(x0, cons_take(z0, z1)) -> c(CONS(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_and(z0, z1)) -> c(CONS(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_isNat(z0)) -> c(CONS(encArg(x0), isNat(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatList(z0)) -> c(CONS(encArg(x0), isNatList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatIList(z0)) -> c(CONS(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_CONS(zeros, x1) -> c(CONS(zeros, encArg(x1)))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(tt, x1) -> c(CONS(tt, 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_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_U11(z0, z1), x1) -> c(CONS(U11(encArg(z0), encArg(z1)), 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_U21(z0), x1) -> c(CONS(U21(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_U31(z0, z1, z2, z3), x1) -> c(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_CONS(cons_take(z0, z1), x1) -> c(CONS(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_and(z0, z1), x1) -> c(CONS(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_isNat(z0), x1) -> c(CONS(isNat(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatList(z0), x1) -> c(CONS(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatIList(z0), x1) -> c(CONS(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_U11(x0, zeros) -> c(U11'(encArg(x0), zeros))
   ENCODE_U11(x0, 0) -> c(U11'(encArg(x0), 0))
   ENCODE_U11(x0, tt) -> c(U11'(encArg(x0), tt))
   ENCODE_U11(x0, nil) -> c(U11'(encArg(x0), nil))
   ENCODE_U11(x0, cons_active(z0)) -> c(U11'(encArg(x0), active(encArg(z0))))
   ENCODE_U11(x0, cons_mark(z0)) -> c(U11'(encArg(x0), mark(encArg(z0))))
   ENCODE_U11(x0, cons_cons(z0, z1)) -> c(U11'(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_U11(z0, z1)) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_s(z0)) -> c(U11'(encArg(x0), s(encArg(z0))))
   ENCODE_U11(x0, cons_length(z0)) -> c(U11'(encArg(x0), length(encArg(z0))))
   ENCODE_U11(x0, cons_U21(z0)) -> c(U11'(encArg(x0), U21(encArg(z0))))
   ENCODE_U11(x0, cons_U31(z0, z1, z2, z3)) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U11(x0, cons_take(z0, z1)) -> c(U11'(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_and(z0, z1)) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_isNat(z0)) -> c(U11'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U11(x0, cons_isNatList(z0)) -> c(U11'(encArg(x0), isNatList(encArg(z0))))
   ENCODE_U11(x0, cons_isNatIList(z0)) -> c(U11'(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_U11(zeros, x1) -> c(U11'(zeros, encArg(x1)))
   ENCODE_U11(0, x1) -> c(U11'(0, encArg(x1)))
   ENCODE_U11(tt, x1) -> c(U11'(tt, encArg(x1)))
   ENCODE_U11(nil, x1) -> c(U11'(nil, encArg(x1)))
   ENCODE_U11(cons_active(z0), x1) -> c(U11'(active(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_mark(z0), x1) -> c(U11'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_cons(z0, z1), x1) -> c(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_U11(z0, z1), x1) -> c(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_s(z0), x1) -> c(U11'(s(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_length(z0), x1) -> c(U11'(length(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U21(z0), x1) -> c(U11'(U21(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U31(z0, z1, z2, z3), x1) -> c(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_U11(cons_take(z0, z1), x1) -> c(U11'(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_and(z0, z1), x1) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_isNat(z0), x1) -> c(U11'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatList(z0), x1) -> c(U11'(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatIList(z0), x1) -> c(U11'(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U11(z0, z1)) -> c(S(U11(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_U21(z0)) -> c(S(U21(encArg(z0))))
   ENCODE_S(cons_U31(z0, z1, z2, z3)) -> c(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
   ENCODE_LENGTH(cons_active(z0)) -> c(LENGTH(active(encArg(z0))))
   ENCODE_LENGTH(cons_mark(z0)) -> c(LENGTH(mark(encArg(z0))))
   ENCODE_LENGTH(cons_cons(z0, z1)) -> c(LENGTH(cons(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_U11(z0, z1)) -> c(LENGTH(U11(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_s(z0)) -> c(LENGTH(s(encArg(z0))))
   ENCODE_LENGTH(cons_length(z0)) -> c(LENGTH(length(encArg(z0))))
   ENCODE_LENGTH(cons_U21(z0)) -> c(LENGTH(U21(encArg(z0))))
   ENCODE_LENGTH(cons_U31(z0, z1, z2, z3)) -> c(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_LENGTH(cons_take(z0, z1)) -> c(LENGTH(take(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_and(z0, z1)) -> c(LENGTH(and(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_isNat(z0)) -> c(LENGTH(isNat(encArg(z0))))
   ENCODE_LENGTH(cons_isNatList(z0)) -> c(LENGTH(isNatList(encArg(z0))))
   ENCODE_LENGTH(cons_isNatIList(z0)) -> c(LENGTH(isNatIList(encArg(z0))))
   ENCODE_U21(zeros) -> c(U21'(zeros))
   ENCODE_U21(0) -> c(U21'(0))
   ENCODE_U21(tt) -> c(U21'(tt))
   ENCODE_U21(nil) -> c(U21'(nil))
   ENCODE_U21(cons_active(z0)) -> c(U21'(active(encArg(z0))))
   ENCODE_U21(cons_mark(z0)) -> c(U21'(mark(encArg(z0))))
   ENCODE_U21(cons_cons(z0, z1)) -> c(U21'(cons(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_U11(z0, z1)) -> c(U21'(U11(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_s(z0)) -> c(U21'(s(encArg(z0))))
   ENCODE_U21(cons_length(z0)) -> c(U21'(length(encArg(z0))))
   ENCODE_U21(cons_U21(z0)) -> c(U21'(U21(encArg(z0))))
   ENCODE_U21(cons_U31(z0, z1, z2, z3)) -> c(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U21(cons_take(z0, z1)) -> c(U21'(take(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_and(z0, z1)) -> c(U21'(and(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_isNat(z0)) -> c(U21'(isNat(encArg(z0))))
   ENCODE_U21(cons_isNatList(z0)) -> c(U21'(isNatList(encArg(z0))))
   ENCODE_U21(cons_isNatIList(z0)) -> c(U21'(isNatIList(encArg(z0))))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

(135) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCODE_U21(zeros) -> c(U21'(zeros))
   ENCODE_U21(0) -> c(U21'(0))
   ENCODE_U21(nil) -> c(U21'(nil))
   ENCODE_U21(tt) -> c(U21'(tt))

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

(136)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3)))
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U11(z0, z1)) -> c(MARK(U11(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_U21(z0)) -> c(MARK(U21(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1, z2, z3)) -> c(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_CONS(x0, zeros) -> c(CONS(encArg(x0), zeros))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, tt) -> c(CONS(encArg(x0), tt))
   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_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_U11(z0, z1)) -> c(CONS(encArg(x0), U11(encArg(z0), encArg(z1))))
   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_U21(z0)) -> c(CONS(encArg(x0), U21(encArg(z0))))
   ENCODE_CONS(x0, cons_U31(z0, z1, z2, z3)) -> c(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_CONS(x0, cons_take(z0, z1)) -> c(CONS(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_and(z0, z1)) -> c(CONS(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_isNat(z0)) -> c(CONS(encArg(x0), isNat(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatList(z0)) -> c(CONS(encArg(x0), isNatList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatIList(z0)) -> c(CONS(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_CONS(zeros, x1) -> c(CONS(zeros, encArg(x1)))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(tt, x1) -> c(CONS(tt, 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_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_U11(z0, z1), x1) -> c(CONS(U11(encArg(z0), encArg(z1)), 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_U21(z0), x1) -> c(CONS(U21(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_U31(z0, z1, z2, z3), x1) -> c(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_CONS(cons_take(z0, z1), x1) -> c(CONS(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_and(z0, z1), x1) -> c(CONS(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_isNat(z0), x1) -> c(CONS(isNat(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatList(z0), x1) -> c(CONS(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatIList(z0), x1) -> c(CONS(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_U11(x0, zeros) -> c(U11'(encArg(x0), zeros))
   ENCODE_U11(x0, 0) -> c(U11'(encArg(x0), 0))
   ENCODE_U11(x0, tt) -> c(U11'(encArg(x0), tt))
   ENCODE_U11(x0, nil) -> c(U11'(encArg(x0), nil))
   ENCODE_U11(x0, cons_active(z0)) -> c(U11'(encArg(x0), active(encArg(z0))))
   ENCODE_U11(x0, cons_mark(z0)) -> c(U11'(encArg(x0), mark(encArg(z0))))
   ENCODE_U11(x0, cons_cons(z0, z1)) -> c(U11'(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_U11(z0, z1)) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_s(z0)) -> c(U11'(encArg(x0), s(encArg(z0))))
   ENCODE_U11(x0, cons_length(z0)) -> c(U11'(encArg(x0), length(encArg(z0))))
   ENCODE_U11(x0, cons_U21(z0)) -> c(U11'(encArg(x0), U21(encArg(z0))))
   ENCODE_U11(x0, cons_U31(z0, z1, z2, z3)) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U11(x0, cons_take(z0, z1)) -> c(U11'(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_and(z0, z1)) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_isNat(z0)) -> c(U11'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U11(x0, cons_isNatList(z0)) -> c(U11'(encArg(x0), isNatList(encArg(z0))))
   ENCODE_U11(x0, cons_isNatIList(z0)) -> c(U11'(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_U11(zeros, x1) -> c(U11'(zeros, encArg(x1)))
   ENCODE_U11(0, x1) -> c(U11'(0, encArg(x1)))
   ENCODE_U11(tt, x1) -> c(U11'(tt, encArg(x1)))
   ENCODE_U11(nil, x1) -> c(U11'(nil, encArg(x1)))
   ENCODE_U11(cons_active(z0), x1) -> c(U11'(active(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_mark(z0), x1) -> c(U11'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_cons(z0, z1), x1) -> c(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_U11(z0, z1), x1) -> c(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_s(z0), x1) -> c(U11'(s(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_length(z0), x1) -> c(U11'(length(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U21(z0), x1) -> c(U11'(U21(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U31(z0, z1, z2, z3), x1) -> c(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_U11(cons_take(z0, z1), x1) -> c(U11'(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_and(z0, z1), x1) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_isNat(z0), x1) -> c(U11'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatList(z0), x1) -> c(U11'(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatIList(z0), x1) -> c(U11'(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U11(z0, z1)) -> c(S(U11(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_U21(z0)) -> c(S(U21(encArg(z0))))
   ENCODE_S(cons_U31(z0, z1, z2, z3)) -> c(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
   ENCODE_LENGTH(cons_active(z0)) -> c(LENGTH(active(encArg(z0))))
   ENCODE_LENGTH(cons_mark(z0)) -> c(LENGTH(mark(encArg(z0))))
   ENCODE_LENGTH(cons_cons(z0, z1)) -> c(LENGTH(cons(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_U11(z0, z1)) -> c(LENGTH(U11(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_s(z0)) -> c(LENGTH(s(encArg(z0))))
   ENCODE_LENGTH(cons_length(z0)) -> c(LENGTH(length(encArg(z0))))
   ENCODE_LENGTH(cons_U21(z0)) -> c(LENGTH(U21(encArg(z0))))
   ENCODE_LENGTH(cons_U31(z0, z1, z2, z3)) -> c(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_LENGTH(cons_take(z0, z1)) -> c(LENGTH(take(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_and(z0, z1)) -> c(LENGTH(and(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_isNat(z0)) -> c(LENGTH(isNat(encArg(z0))))
   ENCODE_LENGTH(cons_isNatList(z0)) -> c(LENGTH(isNatList(encArg(z0))))
   ENCODE_LENGTH(cons_isNatIList(z0)) -> c(LENGTH(isNatIList(encArg(z0))))
   ENCODE_U21(cons_active(z0)) -> c(U21'(active(encArg(z0))))
   ENCODE_U21(cons_mark(z0)) -> c(U21'(mark(encArg(z0))))
   ENCODE_U21(cons_cons(z0, z1)) -> c(U21'(cons(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_U11(z0, z1)) -> c(U21'(U11(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_s(z0)) -> c(U21'(s(encArg(z0))))
   ENCODE_U21(cons_length(z0)) -> c(U21'(length(encArg(z0))))
   ENCODE_U21(cons_U21(z0)) -> c(U21'(U21(encArg(z0))))
   ENCODE_U21(cons_U31(z0, z1, z2, z3)) -> c(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U21(cons_take(z0, z1)) -> c(U21'(take(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_and(z0, z1)) -> c(U21'(and(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_isNat(z0)) -> c(U21'(isNat(encArg(z0))))
   ENCODE_U21(cons_isNatList(z0)) -> c(U21'(isNatList(encArg(z0))))
   ENCODE_U21(cons_isNatIList(z0)) -> c(U21'(isNatIList(encArg(z0))))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_U31_4, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

(137) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_U31(z0, z1, z2, z3) -> c(U31'(encArg(z0), encArg(z1), encArg(z2), encArg(z3))) by 
   ENCODE_U31(x0, x1, x2, zeros) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), zeros))
   ENCODE_U31(x0, x1, x2, 0) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), 0))
   ENCODE_U31(x0, x1, x2, tt) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), tt))
   ENCODE_U31(x0, x1, x2, nil) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), nil))
   ENCODE_U31(x0, x1, x2, cons_active(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_mark(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_cons(z0, z1)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))))
   ENCODE_U31(x0, x1, x2, cons_U11(z0, z1)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))))
   ENCODE_U31(x0, x1, x2, cons_s(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_length(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_U21(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U31(x0, x1, x2, cons_take(z0, z1)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))))
   ENCODE_U31(x0, x1, x2, cons_and(z0, z1)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))))
   ENCODE_U31(x0, x1, x2, cons_isNat(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_isNatList(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_isNatIList(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))))
   ENCODE_U31(x0, x1, zeros, x3) -> c(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)))
   ENCODE_U31(x0, x1, 0, x3) -> c(U31'(encArg(x0), encArg(x1), 0, encArg(x3)))
   ENCODE_U31(x0, x1, tt, x3) -> c(U31'(encArg(x0), encArg(x1), tt, encArg(x3)))
   ENCODE_U31(x0, x1, nil, x3) -> c(U31'(encArg(x0), encArg(x1), nil, encArg(x3)))
   ENCODE_U31(x0, x1, cons_active(z0), x3) -> c(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_mark(z0), x3) -> c(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_cons(z0, z1), x3) -> c(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_U11(z0, z1), x3) -> c(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_s(z0), x3) -> c(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_length(z0), x3) -> c(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_U21(z0), x3) -> c(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3) -> c(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_take(z0, z1), x3) -> c(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_and(z0, z1), x3) -> c(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_isNat(z0), x3) -> c(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_isNatList(z0), x3) -> c(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_isNatIList(z0), x3) -> c(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, zeros, x2, x3) -> c(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)))
   ENCODE_U31(x0, 0, x2, x3) -> c(U31'(encArg(x0), 0, encArg(x2), encArg(x3)))
   ENCODE_U31(x0, tt, x2, x3) -> c(U31'(encArg(x0), tt, encArg(x2), encArg(x3)))
   ENCODE_U31(x0, nil, x2, x3) -> c(U31'(encArg(x0), nil, encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_active(z0), x2, x3) -> c(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_mark(z0), x2, x3) -> c(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_cons(z0, z1), x2, x3) -> c(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_U11(z0, z1), x2, x3) -> c(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_s(z0), x2, x3) -> c(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_length(z0), x2, x3) -> c(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_U21(z0), x2, x3) -> c(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3) -> c(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_take(z0, z1), x2, x3) -> c(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_and(z0, z1), x2, x3) -> c(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_isNat(z0), x2, x3) -> c(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_isNatList(z0), x2, x3) -> c(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_isNatIList(z0), x2, x3) -> c(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(zeros, x1, x2, x3) -> c(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(0, x1, x2, x3) -> c(U31'(0, encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(tt, x1, x2, x3) -> c(U31'(tt, encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(nil, x1, x2, x3) -> c(U31'(nil, encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_active(z0), x1, x2, x3) -> c(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_mark(z0), x1, x2, x3) -> c(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_cons(z0, z1), x1, x2, x3) -> c(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_U11(z0, z1), x1, x2, x3) -> c(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_s(z0), x1, x2, x3) -> c(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_length(z0), x1, x2, x3) -> c(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_U21(z0), x1, x2, x3) -> c(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3) -> c(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_take(z0, z1), x1, x2, x3) -> c(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_and(z0, z1), x1, x2, x3) -> c(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_isNat(z0), x1, x2, x3) -> c(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_isNatList(z0), x1, x2, x3) -> c(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_isNatIList(z0), x1, x2, x3) -> c(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))

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

(138)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U11(z0, z1)) -> c(MARK(U11(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_U21(z0)) -> c(MARK(U21(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1, z2, z3)) -> c(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_CONS(x0, zeros) -> c(CONS(encArg(x0), zeros))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, tt) -> c(CONS(encArg(x0), tt))
   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_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_U11(z0, z1)) -> c(CONS(encArg(x0), U11(encArg(z0), encArg(z1))))
   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_U21(z0)) -> c(CONS(encArg(x0), U21(encArg(z0))))
   ENCODE_CONS(x0, cons_U31(z0, z1, z2, z3)) -> c(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_CONS(x0, cons_take(z0, z1)) -> c(CONS(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_and(z0, z1)) -> c(CONS(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_isNat(z0)) -> c(CONS(encArg(x0), isNat(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatList(z0)) -> c(CONS(encArg(x0), isNatList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatIList(z0)) -> c(CONS(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_CONS(zeros, x1) -> c(CONS(zeros, encArg(x1)))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(tt, x1) -> c(CONS(tt, 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_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_U11(z0, z1), x1) -> c(CONS(U11(encArg(z0), encArg(z1)), 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_U21(z0), x1) -> c(CONS(U21(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_U31(z0, z1, z2, z3), x1) -> c(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_CONS(cons_take(z0, z1), x1) -> c(CONS(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_and(z0, z1), x1) -> c(CONS(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_isNat(z0), x1) -> c(CONS(isNat(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatList(z0), x1) -> c(CONS(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatIList(z0), x1) -> c(CONS(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_U11(x0, zeros) -> c(U11'(encArg(x0), zeros))
   ENCODE_U11(x0, 0) -> c(U11'(encArg(x0), 0))
   ENCODE_U11(x0, tt) -> c(U11'(encArg(x0), tt))
   ENCODE_U11(x0, nil) -> c(U11'(encArg(x0), nil))
   ENCODE_U11(x0, cons_active(z0)) -> c(U11'(encArg(x0), active(encArg(z0))))
   ENCODE_U11(x0, cons_mark(z0)) -> c(U11'(encArg(x0), mark(encArg(z0))))
   ENCODE_U11(x0, cons_cons(z0, z1)) -> c(U11'(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_U11(z0, z1)) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_s(z0)) -> c(U11'(encArg(x0), s(encArg(z0))))
   ENCODE_U11(x0, cons_length(z0)) -> c(U11'(encArg(x0), length(encArg(z0))))
   ENCODE_U11(x0, cons_U21(z0)) -> c(U11'(encArg(x0), U21(encArg(z0))))
   ENCODE_U11(x0, cons_U31(z0, z1, z2, z3)) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U11(x0, cons_take(z0, z1)) -> c(U11'(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_and(z0, z1)) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_isNat(z0)) -> c(U11'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U11(x0, cons_isNatList(z0)) -> c(U11'(encArg(x0), isNatList(encArg(z0))))
   ENCODE_U11(x0, cons_isNatIList(z0)) -> c(U11'(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_U11(zeros, x1) -> c(U11'(zeros, encArg(x1)))
   ENCODE_U11(0, x1) -> c(U11'(0, encArg(x1)))
   ENCODE_U11(tt, x1) -> c(U11'(tt, encArg(x1)))
   ENCODE_U11(nil, x1) -> c(U11'(nil, encArg(x1)))
   ENCODE_U11(cons_active(z0), x1) -> c(U11'(active(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_mark(z0), x1) -> c(U11'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_cons(z0, z1), x1) -> c(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_U11(z0, z1), x1) -> c(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_s(z0), x1) -> c(U11'(s(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_length(z0), x1) -> c(U11'(length(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U21(z0), x1) -> c(U11'(U21(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U31(z0, z1, z2, z3), x1) -> c(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_U11(cons_take(z0, z1), x1) -> c(U11'(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_and(z0, z1), x1) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_isNat(z0), x1) -> c(U11'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatList(z0), x1) -> c(U11'(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatIList(z0), x1) -> c(U11'(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U11(z0, z1)) -> c(S(U11(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_U21(z0)) -> c(S(U21(encArg(z0))))
   ENCODE_S(cons_U31(z0, z1, z2, z3)) -> c(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
   ENCODE_LENGTH(cons_active(z0)) -> c(LENGTH(active(encArg(z0))))
   ENCODE_LENGTH(cons_mark(z0)) -> c(LENGTH(mark(encArg(z0))))
   ENCODE_LENGTH(cons_cons(z0, z1)) -> c(LENGTH(cons(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_U11(z0, z1)) -> c(LENGTH(U11(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_s(z0)) -> c(LENGTH(s(encArg(z0))))
   ENCODE_LENGTH(cons_length(z0)) -> c(LENGTH(length(encArg(z0))))
   ENCODE_LENGTH(cons_U21(z0)) -> c(LENGTH(U21(encArg(z0))))
   ENCODE_LENGTH(cons_U31(z0, z1, z2, z3)) -> c(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_LENGTH(cons_take(z0, z1)) -> c(LENGTH(take(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_and(z0, z1)) -> c(LENGTH(and(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_isNat(z0)) -> c(LENGTH(isNat(encArg(z0))))
   ENCODE_LENGTH(cons_isNatList(z0)) -> c(LENGTH(isNatList(encArg(z0))))
   ENCODE_LENGTH(cons_isNatIList(z0)) -> c(LENGTH(isNatIList(encArg(z0))))
   ENCODE_U21(cons_active(z0)) -> c(U21'(active(encArg(z0))))
   ENCODE_U21(cons_mark(z0)) -> c(U21'(mark(encArg(z0))))
   ENCODE_U21(cons_cons(z0, z1)) -> c(U21'(cons(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_U11(z0, z1)) -> c(U21'(U11(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_s(z0)) -> c(U21'(s(encArg(z0))))
   ENCODE_U21(cons_length(z0)) -> c(U21'(length(encArg(z0))))
   ENCODE_U21(cons_U21(z0)) -> c(U21'(U21(encArg(z0))))
   ENCODE_U21(cons_U31(z0, z1, z2, z3)) -> c(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U21(cons_take(z0, z1)) -> c(U21'(take(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_and(z0, z1)) -> c(U21'(and(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_isNat(z0)) -> c(U21'(isNat(encArg(z0))))
   ENCODE_U21(cons_isNatList(z0)) -> c(U21'(isNatList(encArg(z0))))
   ENCODE_U21(cons_isNatIList(z0)) -> c(U21'(isNatIList(encArg(z0))))
   ENCODE_U31(x0, x1, x2, zeros) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), zeros))
   ENCODE_U31(x0, x1, x2, 0) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), 0))
   ENCODE_U31(x0, x1, x2, tt) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), tt))
   ENCODE_U31(x0, x1, x2, nil) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), nil))
   ENCODE_U31(x0, x1, x2, cons_active(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_mark(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_cons(z0, z1)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))))
   ENCODE_U31(x0, x1, x2, cons_U11(z0, z1)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))))
   ENCODE_U31(x0, x1, x2, cons_s(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_length(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_U21(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U31(x0, x1, x2, cons_take(z0, z1)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))))
   ENCODE_U31(x0, x1, x2, cons_and(z0, z1)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))))
   ENCODE_U31(x0, x1, x2, cons_isNat(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_isNatList(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_isNatIList(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))))
   ENCODE_U31(x0, x1, zeros, x3) -> c(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)))
   ENCODE_U31(x0, x1, 0, x3) -> c(U31'(encArg(x0), encArg(x1), 0, encArg(x3)))
   ENCODE_U31(x0, x1, tt, x3) -> c(U31'(encArg(x0), encArg(x1), tt, encArg(x3)))
   ENCODE_U31(x0, x1, nil, x3) -> c(U31'(encArg(x0), encArg(x1), nil, encArg(x3)))
   ENCODE_U31(x0, x1, cons_active(z0), x3) -> c(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_mark(z0), x3) -> c(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_cons(z0, z1), x3) -> c(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_U11(z0, z1), x3) -> c(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_s(z0), x3) -> c(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_length(z0), x3) -> c(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_U21(z0), x3) -> c(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3) -> c(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_take(z0, z1), x3) -> c(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_and(z0, z1), x3) -> c(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_isNat(z0), x3) -> c(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_isNatList(z0), x3) -> c(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_isNatIList(z0), x3) -> c(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, zeros, x2, x3) -> c(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)))
   ENCODE_U31(x0, 0, x2, x3) -> c(U31'(encArg(x0), 0, encArg(x2), encArg(x3)))
   ENCODE_U31(x0, tt, x2, x3) -> c(U31'(encArg(x0), tt, encArg(x2), encArg(x3)))
   ENCODE_U31(x0, nil, x2, x3) -> c(U31'(encArg(x0), nil, encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_active(z0), x2, x3) -> c(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_mark(z0), x2, x3) -> c(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_cons(z0, z1), x2, x3) -> c(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_U11(z0, z1), x2, x3) -> c(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_s(z0), x2, x3) -> c(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_length(z0), x2, x3) -> c(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_U21(z0), x2, x3) -> c(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3) -> c(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_take(z0, z1), x2, x3) -> c(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_and(z0, z1), x2, x3) -> c(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_isNat(z0), x2, x3) -> c(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_isNatList(z0), x2, x3) -> c(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_isNatIList(z0), x2, x3) -> c(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(zeros, x1, x2, x3) -> c(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(0, x1, x2, x3) -> c(U31'(0, encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(tt, x1, x2, x3) -> c(U31'(tt, encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(nil, x1, x2, x3) -> c(U31'(nil, encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_active(z0), x1, x2, x3) -> c(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_mark(z0), x1, x2, x3) -> c(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_cons(z0, z1), x1, x2, x3) -> c(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_U11(z0, z1), x1, x2, x3) -> c(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_s(z0), x1, x2, x3) -> c(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_length(z0), x1, x2, x3) -> c(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_U21(z0), x1, x2, x3) -> c(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3) -> c(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_take(z0, z1), x1, x2, x3) -> c(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_and(z0, z1), x1, x2, x3) -> c(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_isNat(z0), x1, x2, x3) -> c(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_isNatList(z0), x1, x2, x3) -> c(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_isNatIList(z0), x1, x2, x3) -> c(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_TAKE_2, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1


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

(139) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_TAKE(z0, z1) -> c(TAKE(encArg(z0), encArg(z1))) by 
   ENCODE_TAKE(x0, zeros) -> c(TAKE(encArg(x0), zeros))
   ENCODE_TAKE(x0, 0) -> c(TAKE(encArg(x0), 0))
   ENCODE_TAKE(x0, tt) -> c(TAKE(encArg(x0), tt))
   ENCODE_TAKE(x0, nil) -> c(TAKE(encArg(x0), nil))
   ENCODE_TAKE(x0, cons_active(z0)) -> c(TAKE(encArg(x0), active(encArg(z0))))
   ENCODE_TAKE(x0, cons_mark(z0)) -> c(TAKE(encArg(x0), mark(encArg(z0))))
   ENCODE_TAKE(x0, cons_cons(z0, z1)) -> c(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_TAKE(x0, cons_U11(z0, z1)) -> c(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))))
   ENCODE_TAKE(x0, cons_s(z0)) -> c(TAKE(encArg(x0), s(encArg(z0))))
   ENCODE_TAKE(x0, cons_length(z0)) -> c(TAKE(encArg(x0), length(encArg(z0))))
   ENCODE_TAKE(x0, cons_U21(z0)) -> c(TAKE(encArg(x0), U21(encArg(z0))))
   ENCODE_TAKE(x0, cons_U31(z0, z1, z2, z3)) -> c(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_TAKE(x0, cons_take(z0, z1)) -> c(TAKE(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_TAKE(x0, cons_and(z0, z1)) -> c(TAKE(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_TAKE(x0, cons_isNat(z0)) -> c(TAKE(encArg(x0), isNat(encArg(z0))))
   ENCODE_TAKE(x0, cons_isNatList(z0)) -> c(TAKE(encArg(x0), isNatList(encArg(z0))))
   ENCODE_TAKE(x0, cons_isNatIList(z0)) -> c(TAKE(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_TAKE(zeros, x1) -> c(TAKE(zeros, encArg(x1)))
   ENCODE_TAKE(0, x1) -> c(TAKE(0, encArg(x1)))
   ENCODE_TAKE(tt, x1) -> c(TAKE(tt, encArg(x1)))
   ENCODE_TAKE(nil, x1) -> c(TAKE(nil, encArg(x1)))
   ENCODE_TAKE(cons_active(z0), x1) -> c(TAKE(active(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_mark(z0), x1) -> c(TAKE(mark(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_cons(z0, z1), x1) -> c(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_TAKE(cons_U11(z0, z1), x1) -> c(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_TAKE(cons_s(z0), x1) -> c(TAKE(s(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_length(z0), x1) -> c(TAKE(length(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_U21(z0), x1) -> c(TAKE(U21(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_U31(z0, z1, z2, z3), x1) -> c(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_TAKE(cons_take(z0, z1), x1) -> c(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_TAKE(cons_and(z0, z1), x1) -> c(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_TAKE(cons_isNat(z0), x1) -> c(TAKE(isNat(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_isNatList(z0), x1) -> c(TAKE(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_isNatIList(z0), x1) -> c(TAKE(isNatIList(encArg(z0)), encArg(x1)))

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

(140)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(zeros) -> zeros
   encArg(0) -> 0
   encArg(tt) -> tt
   encArg(nil) -> nil
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_length(z0)) -> length(encArg(z0))
   encArg(cons_U21(z0)) -> U21(encArg(z0))
   encArg(cons_U31(z0, z1, z2, z3)) -> U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))
   encArg(cons_take(z0, z1)) -> take(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_isNatList(z0)) -> isNatList(encArg(z0))
   encArg(cons_isNatIList(z0)) -> isNatIList(encArg(z0))
   active(zeros) -> mark(cons(0, zeros))
   active(U11(tt, z0)) -> mark(s(length(z0)))
   active(U21(tt)) -> mark(nil)
   active(U31(tt, z0, z1, z2)) -> mark(cons(z2, take(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(length(z0))) -> mark(isNatList(z0))
   active(isNat(s(z0))) -> mark(isNat(z0))
   active(isNatIList(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(length(nil)) -> mark(0)
   active(length(cons(z0, z1))) -> mark(U11(and(isNatList(z1), isNat(z0)), z1))
   active(take(0, z0)) -> mark(U21(isNatIList(z0)))
   active(take(s(z0), cons(z1, z2))) -> mark(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1))
   mark(zeros) -> active(zeros)
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(U11(z0, z1)) -> active(U11(mark(z0), z1))
   mark(tt) -> active(tt)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(length(z0)) -> active(length(mark(z0)))
   mark(U21(z0)) -> active(U21(mark(z0)))
   mark(nil) -> active(nil)
   mark(U31(z0, z1, z2, z3)) -> active(U31(mark(z0), z1, z2, z3))
   mark(take(z0, z1)) -> active(take(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(isNatList(z0)) -> active(isNatList(z0))
   mark(isNatIList(z0)) -> active(isNatIList(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)
   U11(mark(z0), z1) -> U11(z0, z1)
   U11(z0, mark(z1)) -> U11(z0, z1)
   U11(active(z0), z1) -> U11(z0, z1)
   U11(z0, active(z1)) -> U11(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   length(mark(z0)) -> length(z0)
   length(active(z0)) -> length(z0)
   U21(mark(z0)) -> U21(z0)
   U21(active(z0)) -> U21(z0)
   U31(mark(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, mark(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, mark(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, mark(z3)) -> U31(z0, z1, z2, z3)
   U31(active(z0), z1, z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, active(z1), z2, z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, active(z2), z3) -> U31(z0, z1, z2, z3)
   U31(z0, z1, z2, active(z3)) -> U31(z0, z1, z2, z3)
   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)
   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)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   isNatList(mark(z0)) -> isNatList(z0)
   isNatList(active(z0)) -> isNatList(z0)
   isNatIList(mark(z0)) -> isNatIList(z0)
   isNatIList(active(z0)) -> isNatIList(z0)
Tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNATLIST(z0) -> c(ISNATLIST(encArg(z0)))
   ENCODE_ISNATILIST(z0) -> c(ISNATILIST(encArg(z0)))
   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_cons(z0, z1))) -> c4(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_U11(z0, z1))) -> c4(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c4(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_active(cons_U31(z0, z1, z2, z3))) -> c4(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_active(cons_take(z0, z1))) -> c4(ACTIVE(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c4(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c4(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_isNatList(z0))) -> c4(ACTIVE(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_active(cons_isNatIList(z0))) -> c4(ACTIVE(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   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_cons(z0, z1))) -> c5(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_U11(z0, z1))) -> c5(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   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_U21(z0))) -> c5(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1, z2, z3))) -> c5(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_mark(cons_take(z0, z1))) -> c5(MARK(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c5(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c5(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_isNatList(z0))) -> c5(MARK(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_mark(cons_isNatIList(z0))) -> c5(MARK(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_mark(zeros)) -> c5(MARK(zeros))
   ENCARG(cons_mark(0)) -> c5(MARK(0))
   ENCARG(cons_mark(tt)) -> c5(MARK(tt))
   ENCARG(cons_mark(nil)) -> c5(MARK(nil))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c6(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c6(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c6(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_U11(z0, z1))) -> c6(CONS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c6(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_length(z0))) -> c6(CONS(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_cons(x0, cons_U21(z0))) -> c6(CONS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_cons(x0, cons_U31(z0, z1, z2, z3))) -> c6(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_cons(x0, cons_take(z0, z1))) -> c6(CONS(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_cons(x0, cons_and(z0, z1))) -> c6(CONS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_cons(x0, cons_isNat(z0))) -> c6(CONS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_cons(x0, cons_isNatList(z0))) -> c6(CONS(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_cons(x0, cons_isNatIList(z0))) -> c6(CONS(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c6(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c6(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c6(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_U11(z0, z1), x1)) -> c6(CONS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c6(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_length(z0), x1)) -> c6(CONS(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U21(z0), x1)) -> c6(CONS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_U31(z0, z1, z2, z3), x1)) -> c6(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_cons(cons_take(z0, z1), x1)) -> c6(CONS(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_and(z0, z1), x1)) -> c6(CONS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNat(z0), x1)) -> c6(CONS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatList(z0), x1)) -> c6(CONS(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_isNatIList(z0), x1)) -> c6(CONS(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, zeros)) -> c6(CONS(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_cons(x0, 0)) -> c6(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, tt)) -> c6(CONS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_cons(x0, nil)) -> c6(CONS(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_cons(zeros, x1)) -> c6(CONS(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(0, x1)) -> c6(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(tt, x1)) -> c6(CONS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(nil, x1)) -> c6(CONS(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(x0, cons_active(z0))) -> c7(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, cons_mark(z0))) -> c7(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, cons_cons(z0, z1))) -> c7(U11'(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c7(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U11(x0, cons_s(z0))) -> c7(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, cons_length(z0))) -> c7(U11'(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_U11(x0, cons_U21(z0))) -> c7(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_U11(x0, cons_U31(z0, z1, z2, z3))) -> c7(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U11(x0, cons_take(z0, z1))) -> c7(U11'(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U11(x0, cons_and(z0, z1))) -> c7(U11'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, cons_isNat(z0))) -> c7(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, cons_isNatList(z0))) -> c7(U11'(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U11(x0, cons_isNatIList(z0))) -> c7(U11'(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U11(cons_active(z0), x1)) -> c7(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_mark(z0), x1)) -> c7(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_cons(z0, z1), x1)) -> c7(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c7(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_s(z0), x1)) -> c7(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_length(z0), x1)) -> c7(U11'(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U21(z0), x1)) -> c7(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_U31(z0, z1, z2, z3), x1)) -> c7(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_U11(cons_take(z0, z1), x1)) -> c7(U11'(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_and(z0, z1), x1)) -> c7(U11'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNat(z0), x1)) -> c7(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatList(z0), x1)) -> c7(U11'(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_U11(cons_isNatIList(z0), x1)) -> c7(U11'(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_U11(x0, zeros)) -> c7(U11'(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_U11(x0, 0)) -> c7(U11'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U11(x0, tt)) -> c7(U11'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U11(x0, nil)) -> c7(U11'(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_U11(zeros, x1)) -> c7(U11'(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(0, x1)) -> c7(U11'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(tt, x1)) -> c7(U11'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U11(nil, x1)) -> c7(U11'(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c8(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c8(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c8(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_U11(z0, z1))) -> c8(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c8(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_length(z0))) -> c8(S(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_s(cons_U21(z0))) -> c8(S(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_s(cons_U31(z0, z1, z2, z3))) -> c8(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_s(cons_take(z0, z1))) -> c8(S(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c8(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c8(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_isNatList(z0))) -> c8(S(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_s(cons_isNatIList(z0))) -> c8(S(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_length(cons_active(z0))) -> c9(LENGTH(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_length(cons_mark(z0))) -> c9(LENGTH(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_length(cons_cons(z0, z1))) -> c9(LENGTH(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_length(cons_U11(z0, z1))) -> c9(LENGTH(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_length(cons_s(z0))) -> c9(LENGTH(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_length(cons_length(z0))) -> c9(LENGTH(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_length(cons_U21(z0))) -> c9(LENGTH(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_length(cons_U31(z0, z1, z2, z3))) -> c9(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_length(cons_take(z0, z1))) -> c9(LENGTH(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_length(cons_and(z0, z1))) -> c9(LENGTH(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_length(cons_isNat(z0))) -> c9(LENGTH(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_length(cons_isNatList(z0))) -> c9(LENGTH(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_length(cons_isNatIList(z0))) -> c9(LENGTH(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U21(cons_active(z0))) -> c10(U21'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(cons_mark(z0))) -> c10(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(cons_cons(z0, z1))) -> c10(U21'(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U21(cons_U11(z0, z1))) -> c10(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U21(cons_s(z0))) -> c10(U21'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(cons_length(z0))) -> c10(U21'(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_U21(cons_U21(z0))) -> c10(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_U21(cons_U31(z0, z1, z2, z3))) -> c10(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U21(cons_take(z0, z1))) -> c10(U21'(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U21(cons_and(z0, z1))) -> c10(U21'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(cons_isNat(z0))) -> c10(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(cons_isNatList(z0))) -> c10(U21'(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U21(cons_isNatIList(z0))) -> c10(U21'(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_active(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_mark(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_cons(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_U11(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_s(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_length(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_length(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U21(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U21(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_U31(x0, x1, x2, cons_take(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_and(z0, z1))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNat(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_U31(x0, x1, x2, cons_isNatIList(z0))) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(x2), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_U31(x0, x1, cons_active(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_mark(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_cons(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U11(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_s(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_length(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_length(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U21(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3)) -> c11(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_take(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_take(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_and(z0, z1), x3)) -> c11(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNat(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, cons_isNatIList(z0), x3)) -> c11(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatIList(z0)), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_active(z0), x2, x3)) -> c11(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_mark(z0), x2, x3)) -> c11(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_cons(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U11(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_s(z0), x2, x3)) -> c11(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_length(z0), x2, x3)) -> c11(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_length(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U21(z0), x2, x3)) -> c11(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3)) -> c11(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_take(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_take(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_and(z0, z1), x2, x3)) -> c11(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNat(z0), x2, x3)) -> c11(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, cons_isNatIList(z0), x2, x3)) -> c11(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(cons_isNatIList(z0)), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_active(z0), x1, x2, x3)) -> c11(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_mark(z0), x1, x2, x3)) -> c11(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_cons(z0, z1), x1, x2, x3)) -> c11(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U11(z0, z1), x1, x2, x3)) -> c11(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_s(z0), x1, x2, x3)) -> c11(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_length(z0), x1, x2, x3)) -> c11(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_length(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U21(z0), x1, x2, x3)) -> c11(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3)) -> c11(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_take(z0, z1), x1, x2, x3)) -> c11(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_take(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_and(z0, z1), x1, x2, x3)) -> c11(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNat(z0), x1, x2, x3)) -> c11(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatList(z0), x1, x2, x3)) -> c11(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(cons_isNatIList(z0), x1, x2, x3)) -> c11(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)), ENCARG(cons_isNatIList(z0)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, x2, zeros)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), zeros), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, 0)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), 0), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, tt)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), tt), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, x2, nil)) -> c11(U31'(encArg(x0), encArg(x1), encArg(x2), nil), ENCARG(x0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U31(x0, x1, zeros, x3)) -> c11(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, 0, x3)) -> c11(U31'(encArg(x0), encArg(x1), 0, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, tt, x3)) -> c11(U31'(encArg(x0), encArg(x1), tt, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, x1, nil, x3)) -> c11(U31'(encArg(x0), encArg(x1), nil, encArg(x3)), ENCARG(x0), ENCARG(x1), ENCARG(x3))
   ENCARG(cons_U31(x0, zeros, x2, x3)) -> c11(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, 0, x2, x3)) -> c11(U31'(encArg(x0), 0, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, tt, x2, x3)) -> c11(U31'(encArg(x0), tt, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(x0, nil, x2, x3)) -> c11(U31'(encArg(x0), nil, encArg(x2), encArg(x3)), ENCARG(x0), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(zeros, x1, x2, x3)) -> c11(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(0, x1, x2, x3)) -> c11(U31'(0, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(tt, x1, x2, x3)) -> c11(U31'(tt, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_U31(nil, x1, x2, x3)) -> c11(U31'(nil, encArg(x1), encArg(x2), encArg(x3)), ENCARG(x1), ENCARG(x2), ENCARG(x3))
   ENCARG(cons_take(x0, cons_active(z0))) -> c12(TAKE(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_take(x0, cons_mark(z0))) -> c12(TAKE(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_take(x0, cons_cons(z0, z1))) -> c12(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_take(x0, cons_U11(z0, z1))) -> c12(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_take(x0, cons_s(z0))) -> c12(TAKE(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_take(x0, cons_length(z0))) -> c12(TAKE(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_take(x0, cons_U21(z0))) -> c12(TAKE(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_take(x0, cons_U31(z0, z1, z2, z3))) -> c12(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_take(x0, cons_take(z0, z1))) -> c12(TAKE(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_take(x0, cons_and(z0, z1))) -> c12(TAKE(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_take(x0, cons_isNat(z0))) -> c12(TAKE(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_take(x0, cons_isNatList(z0))) -> c12(TAKE(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_take(x0, cons_isNatIList(z0))) -> c12(TAKE(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_take(cons_active(z0), x1)) -> c12(TAKE(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_mark(z0), x1)) -> c12(TAKE(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_cons(z0, z1), x1)) -> c12(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_U11(z0, z1), x1)) -> c12(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_s(z0), x1)) -> c12(TAKE(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_length(z0), x1)) -> c12(TAKE(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U21(z0), x1)) -> c12(TAKE(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_U31(z0, z1, z2, z3), x1)) -> c12(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_take(cons_take(z0, z1), x1)) -> c12(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_and(z0, z1), x1)) -> c12(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_take(cons_isNat(z0), x1)) -> c12(TAKE(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatList(z0), x1)) -> c12(TAKE(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_take(cons_isNatIList(z0), x1)) -> c12(TAKE(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_take(x0, zeros)) -> c12(TAKE(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_take(x0, 0)) -> c12(TAKE(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_take(x0, tt)) -> c12(TAKE(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_take(x0, nil)) -> c12(TAKE(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_take(zeros, x1)) -> c12(TAKE(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(0, x1)) -> c12(TAKE(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(tt, x1)) -> c12(TAKE(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_take(nil, x1)) -> c12(TAKE(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c13(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c13(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_cons(z0, z1))) -> c13(AND(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_and(x0, cons_U11(z0, z1))) -> c13(AND(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c13(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_length(z0))) -> c13(AND(encArg(x0), length(encArg(z0))), ENCARG(x0), ENCARG(cons_length(z0)))
   ENCARG(cons_and(x0, cons_U21(z0))) -> c13(AND(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1, z2, z3))) -> c13(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_and(x0, cons_take(z0, z1))) -> c13(AND(encArg(x0), take(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c13(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c13(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_isNatList(z0))) -> c13(AND(encArg(x0), isNatList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_and(x0, cons_isNatIList(z0))) -> c13(AND(encArg(x0), isNatIList(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c13(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c13(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_cons(z0, z1), x1)) -> c13(AND(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1), x1)) -> c13(AND(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c13(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_length(z0), x1)) -> c13(AND(length(encArg(z0)), encArg(x1)), ENCARG(cons_length(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0), x1)) -> c13(AND(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1, z2, z3), x1)) -> c13(AND(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2, z3)), ENCARG(x1))
   ENCARG(cons_and(cons_take(z0, z1), x1)) -> c13(AND(take(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_take(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c13(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c13(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatList(z0), x1)) -> c13(AND(isNatList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatList(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatIList(z0), x1)) -> c13(AND(isNatIList(encArg(z0)), encArg(x1)), ENCARG(cons_isNatIList(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, zeros)) -> c13(AND(encArg(x0), zeros), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c13(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(x0, tt)) -> c13(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, nil)) -> c13(AND(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_and(zeros, x1)) -> c13(AND(zeros, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c13(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(tt, x1)) -> c13(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(nil, x1)) -> c13(AND(nil, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c14(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c14(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_cons(z0, z1))) -> c14(ISNAT(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNat(cons_U11(z0, z1))) -> c14(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNat(cons_s(z0))) -> c14(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_length(z0))) -> c14(ISNAT(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNat(cons_U21(z0))) -> c14(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1, z2, z3))) -> c14(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNat(cons_take(z0, z1))) -> c14(ISNAT(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c14(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c14(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_isNatList(z0))) -> c14(ISNAT(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNat(cons_isNatIList(z0))) -> c14(ISNAT(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatList(cons_active(z0))) -> c15(ISNATLIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatList(cons_mark(z0))) -> c15(ISNATLIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatList(cons_cons(z0, z1))) -> c15(ISNATLIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatList(cons_U11(z0, z1))) -> c15(ISNATLIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatList(cons_s(z0))) -> c15(ISNATLIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatList(cons_length(z0))) -> c15(ISNATLIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatList(cons_U21(z0))) -> c15(ISNATLIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatList(cons_U31(z0, z1, z2, z3))) -> c15(ISNATLIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatList(cons_take(z0, z1))) -> c15(ISNATLIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatList(cons_and(z0, z1))) -> c15(ISNATLIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatList(cons_isNat(z0))) -> c15(ISNATLIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatList(cons_isNatList(z0))) -> c15(ISNATLIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatList(cons_isNatIList(z0))) -> c15(ISNATLIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   ENCARG(cons_isNatIList(cons_active(z0))) -> c16(ISNATILIST(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatIList(cons_mark(z0))) -> c16(ISNATILIST(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatIList(cons_cons(z0, z1))) -> c16(ISNATILIST(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_isNatIList(cons_U11(z0, z1))) -> c16(ISNATILIST(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1)))
   ENCARG(cons_isNatIList(cons_s(z0))) -> c16(ISNATILIST(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatIList(cons_length(z0))) -> c16(ISNATILIST(length(encArg(z0))), ENCARG(cons_length(z0)))
   ENCARG(cons_isNatIList(cons_U21(z0))) -> c16(ISNATILIST(U21(encArg(z0))), ENCARG(cons_U21(z0)))
   ENCARG(cons_isNatIList(cons_U31(z0, z1, z2, z3))) -> c16(ISNATILIST(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))), ENCARG(cons_U31(z0, z1, z2, z3)))
   ENCARG(cons_isNatIList(cons_take(z0, z1))) -> c16(ISNATILIST(take(encArg(z0), encArg(z1))), ENCARG(cons_take(z0, z1)))
   ENCARG(cons_isNatIList(cons_and(z0, z1))) -> c16(ISNATILIST(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatIList(cons_isNat(z0))) -> c16(ISNATILIST(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatIList(cons_isNatList(z0))) -> c16(ISNATILIST(isNatList(encArg(z0))), ENCARG(cons_isNatList(z0)))
   ENCARG(cons_isNatIList(cons_isNatIList(z0))) -> c16(ISNATILIST(isNatIList(encArg(z0))), ENCARG(cons_isNatIList(z0)))
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(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_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U11(z0, z1)) -> c(ACTIVE(U11(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_length(z0)) -> c(ACTIVE(length(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0)) -> c(ACTIVE(U21(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1, z2, z3)) -> c(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_ACTIVE(cons_take(z0, z1)) -> c(ACTIVE(take(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatList(z0)) -> c(ACTIVE(isNatList(encArg(z0))))
   ENCODE_ACTIVE(cons_isNatIList(z0)) -> c(ACTIVE(isNatIList(encArg(z0))))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U11(z0, z1)) -> c(MARK(U11(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_length(z0)) -> c(MARK(length(encArg(z0))))
   ENCODE_MARK(cons_U21(z0)) -> c(MARK(U21(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1, z2, z3)) -> c(MARK(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_MARK(cons_take(z0, z1)) -> c(MARK(take(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_isNatList(z0)) -> c(MARK(isNatList(encArg(z0))))
   ENCODE_MARK(cons_isNatIList(z0)) -> c(MARK(isNatIList(encArg(z0))))
   ENCODE_CONS(x0, zeros) -> c(CONS(encArg(x0), zeros))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, tt) -> c(CONS(encArg(x0), tt))
   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_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_U11(z0, z1)) -> c(CONS(encArg(x0), U11(encArg(z0), encArg(z1))))
   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_U21(z0)) -> c(CONS(encArg(x0), U21(encArg(z0))))
   ENCODE_CONS(x0, cons_U31(z0, z1, z2, z3)) -> c(CONS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_CONS(x0, cons_take(z0, z1)) -> c(CONS(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_and(z0, z1)) -> c(CONS(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_isNat(z0)) -> c(CONS(encArg(x0), isNat(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatList(z0)) -> c(CONS(encArg(x0), isNatList(encArg(z0))))
   ENCODE_CONS(x0, cons_isNatIList(z0)) -> c(CONS(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_CONS(zeros, x1) -> c(CONS(zeros, encArg(x1)))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(tt, x1) -> c(CONS(tt, 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_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_U11(z0, z1), x1) -> c(CONS(U11(encArg(z0), encArg(z1)), 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_U21(z0), x1) -> c(CONS(U21(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_U31(z0, z1, z2, z3), x1) -> c(CONS(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_CONS(cons_take(z0, z1), x1) -> c(CONS(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_and(z0, z1), x1) -> c(CONS(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_isNat(z0), x1) -> c(CONS(isNat(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatList(z0), x1) -> c(CONS(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_isNatIList(z0), x1) -> c(CONS(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_U11(x0, zeros) -> c(U11'(encArg(x0), zeros))
   ENCODE_U11(x0, 0) -> c(U11'(encArg(x0), 0))
   ENCODE_U11(x0, tt) -> c(U11'(encArg(x0), tt))
   ENCODE_U11(x0, nil) -> c(U11'(encArg(x0), nil))
   ENCODE_U11(x0, cons_active(z0)) -> c(U11'(encArg(x0), active(encArg(z0))))
   ENCODE_U11(x0, cons_mark(z0)) -> c(U11'(encArg(x0), mark(encArg(z0))))
   ENCODE_U11(x0, cons_cons(z0, z1)) -> c(U11'(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_U11(z0, z1)) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_s(z0)) -> c(U11'(encArg(x0), s(encArg(z0))))
   ENCODE_U11(x0, cons_length(z0)) -> c(U11'(encArg(x0), length(encArg(z0))))
   ENCODE_U11(x0, cons_U21(z0)) -> c(U11'(encArg(x0), U21(encArg(z0))))
   ENCODE_U11(x0, cons_U31(z0, z1, z2, z3)) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U11(x0, cons_take(z0, z1)) -> c(U11'(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_and(z0, z1)) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, cons_isNat(z0)) -> c(U11'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U11(x0, cons_isNatList(z0)) -> c(U11'(encArg(x0), isNatList(encArg(z0))))
   ENCODE_U11(x0, cons_isNatIList(z0)) -> c(U11'(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_U11(zeros, x1) -> c(U11'(zeros, encArg(x1)))
   ENCODE_U11(0, x1) -> c(U11'(0, encArg(x1)))
   ENCODE_U11(tt, x1) -> c(U11'(tt, encArg(x1)))
   ENCODE_U11(nil, x1) -> c(U11'(nil, encArg(x1)))
   ENCODE_U11(cons_active(z0), x1) -> c(U11'(active(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_mark(z0), x1) -> c(U11'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_cons(z0, z1), x1) -> c(U11'(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_U11(z0, z1), x1) -> c(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_s(z0), x1) -> c(U11'(s(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_length(z0), x1) -> c(U11'(length(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U21(z0), x1) -> c(U11'(U21(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_U31(z0, z1, z2, z3), x1) -> c(U11'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_U11(cons_take(z0, z1), x1) -> c(U11'(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_and(z0, z1), x1) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U11(cons_isNat(z0), x1) -> c(U11'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatList(z0), x1) -> c(U11'(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_U11(cons_isNatIList(z0), x1) -> c(U11'(isNatIList(encArg(z0)), encArg(x1)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U11(z0, z1)) -> c(S(U11(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_length(z0)) -> c(S(length(encArg(z0))))
   ENCODE_S(cons_U21(z0)) -> c(S(U21(encArg(z0))))
   ENCODE_S(cons_U31(z0, z1, z2, z3)) -> c(S(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_S(cons_take(z0, z1)) -> c(S(take(encArg(z0), encArg(z1))))
   ENCODE_S(cons_and(z0, z1)) -> c(S(and(encArg(z0), encArg(z1))))
   ENCODE_S(cons_isNat(z0)) -> c(S(isNat(encArg(z0))))
   ENCODE_S(cons_isNatList(z0)) -> c(S(isNatList(encArg(z0))))
   ENCODE_S(cons_isNatIList(z0)) -> c(S(isNatIList(encArg(z0))))
   ENCODE_LENGTH(cons_active(z0)) -> c(LENGTH(active(encArg(z0))))
   ENCODE_LENGTH(cons_mark(z0)) -> c(LENGTH(mark(encArg(z0))))
   ENCODE_LENGTH(cons_cons(z0, z1)) -> c(LENGTH(cons(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_U11(z0, z1)) -> c(LENGTH(U11(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_s(z0)) -> c(LENGTH(s(encArg(z0))))
   ENCODE_LENGTH(cons_length(z0)) -> c(LENGTH(length(encArg(z0))))
   ENCODE_LENGTH(cons_U21(z0)) -> c(LENGTH(U21(encArg(z0))))
   ENCODE_LENGTH(cons_U31(z0, z1, z2, z3)) -> c(LENGTH(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_LENGTH(cons_take(z0, z1)) -> c(LENGTH(take(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_and(z0, z1)) -> c(LENGTH(and(encArg(z0), encArg(z1))))
   ENCODE_LENGTH(cons_isNat(z0)) -> c(LENGTH(isNat(encArg(z0))))
   ENCODE_LENGTH(cons_isNatList(z0)) -> c(LENGTH(isNatList(encArg(z0))))
   ENCODE_LENGTH(cons_isNatIList(z0)) -> c(LENGTH(isNatIList(encArg(z0))))
   ENCODE_U21(cons_active(z0)) -> c(U21'(active(encArg(z0))))
   ENCODE_U21(cons_mark(z0)) -> c(U21'(mark(encArg(z0))))
   ENCODE_U21(cons_cons(z0, z1)) -> c(U21'(cons(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_U11(z0, z1)) -> c(U21'(U11(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_s(z0)) -> c(U21'(s(encArg(z0))))
   ENCODE_U21(cons_length(z0)) -> c(U21'(length(encArg(z0))))
   ENCODE_U21(cons_U21(z0)) -> c(U21'(U21(encArg(z0))))
   ENCODE_U21(cons_U31(z0, z1, z2, z3)) -> c(U21'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U21(cons_take(z0, z1)) -> c(U21'(take(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_and(z0, z1)) -> c(U21'(and(encArg(z0), encArg(z1))))
   ENCODE_U21(cons_isNat(z0)) -> c(U21'(isNat(encArg(z0))))
   ENCODE_U21(cons_isNatList(z0)) -> c(U21'(isNatList(encArg(z0))))
   ENCODE_U21(cons_isNatIList(z0)) -> c(U21'(isNatIList(encArg(z0))))
   ENCODE_U31(x0, x1, x2, zeros) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), zeros))
   ENCODE_U31(x0, x1, x2, 0) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), 0))
   ENCODE_U31(x0, x1, x2, tt) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), tt))
   ENCODE_U31(x0, x1, x2, nil) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), nil))
   ENCODE_U31(x0, x1, x2, cons_active(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), active(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_mark(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), mark(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_cons(z0, z1)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))))
   ENCODE_U31(x0, x1, x2, cons_U11(z0, z1)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), U11(encArg(z0), encArg(z1))))
   ENCODE_U31(x0, x1, x2, cons_s(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), s(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_length(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), length(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_U21(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), U21(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_U31(z0, z1, z2, z3)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_U31(x0, x1, x2, cons_take(z0, z1)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), take(encArg(z0), encArg(z1))))
   ENCODE_U31(x0, x1, x2, cons_and(z0, z1)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), and(encArg(z0), encArg(z1))))
   ENCODE_U31(x0, x1, x2, cons_isNat(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), isNat(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_isNatList(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), isNatList(encArg(z0))))
   ENCODE_U31(x0, x1, x2, cons_isNatIList(z0)) -> c(U31'(encArg(x0), encArg(x1), encArg(x2), isNatIList(encArg(z0))))
   ENCODE_U31(x0, x1, zeros, x3) -> c(U31'(encArg(x0), encArg(x1), zeros, encArg(x3)))
   ENCODE_U31(x0, x1, 0, x3) -> c(U31'(encArg(x0), encArg(x1), 0, encArg(x3)))
   ENCODE_U31(x0, x1, tt, x3) -> c(U31'(encArg(x0), encArg(x1), tt, encArg(x3)))
   ENCODE_U31(x0, x1, nil, x3) -> c(U31'(encArg(x0), encArg(x1), nil, encArg(x3)))
   ENCODE_U31(x0, x1, cons_active(z0), x3) -> c(U31'(encArg(x0), encArg(x1), active(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_mark(z0), x3) -> c(U31'(encArg(x0), encArg(x1), mark(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_cons(z0, z1), x3) -> c(U31'(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_U11(z0, z1), x3) -> c(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_s(z0), x3) -> c(U31'(encArg(x0), encArg(x1), s(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_length(z0), x3) -> c(U31'(encArg(x0), encArg(x1), length(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_U21(z0), x3) -> c(U31'(encArg(x0), encArg(x1), U21(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_U31(z0, z1, z2, z3), x3) -> c(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_take(z0, z1), x3) -> c(U31'(encArg(x0), encArg(x1), take(encArg(z0), encArg(z1)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_and(z0, z1), x3) -> c(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_isNat(z0), x3) -> c(U31'(encArg(x0), encArg(x1), isNat(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_isNatList(z0), x3) -> c(U31'(encArg(x0), encArg(x1), isNatList(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, x1, cons_isNatIList(z0), x3) -> c(U31'(encArg(x0), encArg(x1), isNatIList(encArg(z0)), encArg(x3)))
   ENCODE_U31(x0, zeros, x2, x3) -> c(U31'(encArg(x0), zeros, encArg(x2), encArg(x3)))
   ENCODE_U31(x0, 0, x2, x3) -> c(U31'(encArg(x0), 0, encArg(x2), encArg(x3)))
   ENCODE_U31(x0, tt, x2, x3) -> c(U31'(encArg(x0), tt, encArg(x2), encArg(x3)))
   ENCODE_U31(x0, nil, x2, x3) -> c(U31'(encArg(x0), nil, encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_active(z0), x2, x3) -> c(U31'(encArg(x0), active(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_mark(z0), x2, x3) -> c(U31'(encArg(x0), mark(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_cons(z0, z1), x2, x3) -> c(U31'(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_U11(z0, z1), x2, x3) -> c(U31'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_s(z0), x2, x3) -> c(U31'(encArg(x0), s(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_length(z0), x2, x3) -> c(U31'(encArg(x0), length(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_U21(z0), x2, x3) -> c(U31'(encArg(x0), U21(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_U31(z0, z1, z2, z3), x2, x3) -> c(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_take(z0, z1), x2, x3) -> c(U31'(encArg(x0), take(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_and(z0, z1), x2, x3) -> c(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_isNat(z0), x2, x3) -> c(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_isNatList(z0), x2, x3) -> c(U31'(encArg(x0), isNatList(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(x0, cons_isNatIList(z0), x2, x3) -> c(U31'(encArg(x0), isNatIList(encArg(z0)), encArg(x2), encArg(x3)))
   ENCODE_U31(zeros, x1, x2, x3) -> c(U31'(zeros, encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(0, x1, x2, x3) -> c(U31'(0, encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(tt, x1, x2, x3) -> c(U31'(tt, encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(nil, x1, x2, x3) -> c(U31'(nil, encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_active(z0), x1, x2, x3) -> c(U31'(active(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_mark(z0), x1, x2, x3) -> c(U31'(mark(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_cons(z0, z1), x1, x2, x3) -> c(U31'(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_U11(z0, z1), x1, x2, x3) -> c(U31'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_s(z0), x1, x2, x3) -> c(U31'(s(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_length(z0), x1, x2, x3) -> c(U31'(length(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_U21(z0), x1, x2, x3) -> c(U31'(U21(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_U31(z0, z1, z2, z3), x1, x2, x3) -> c(U31'(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_take(z0, z1), x1, x2, x3) -> c(U31'(take(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_and(z0, z1), x1, x2, x3) -> c(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_isNat(z0), x1, x2, x3) -> c(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_isNatList(z0), x1, x2, x3) -> c(U31'(isNatList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_U31(cons_isNatIList(z0), x1, x2, x3) -> c(U31'(isNatIList(encArg(z0)), encArg(x1), encArg(x2), encArg(x3)))
   ENCODE_TAKE(x0, zeros) -> c(TAKE(encArg(x0), zeros))
   ENCODE_TAKE(x0, 0) -> c(TAKE(encArg(x0), 0))
   ENCODE_TAKE(x0, tt) -> c(TAKE(encArg(x0), tt))
   ENCODE_TAKE(x0, nil) -> c(TAKE(encArg(x0), nil))
   ENCODE_TAKE(x0, cons_active(z0)) -> c(TAKE(encArg(x0), active(encArg(z0))))
   ENCODE_TAKE(x0, cons_mark(z0)) -> c(TAKE(encArg(x0), mark(encArg(z0))))
   ENCODE_TAKE(x0, cons_cons(z0, z1)) -> c(TAKE(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_TAKE(x0, cons_U11(z0, z1)) -> c(TAKE(encArg(x0), U11(encArg(z0), encArg(z1))))
   ENCODE_TAKE(x0, cons_s(z0)) -> c(TAKE(encArg(x0), s(encArg(z0))))
   ENCODE_TAKE(x0, cons_length(z0)) -> c(TAKE(encArg(x0), length(encArg(z0))))
   ENCODE_TAKE(x0, cons_U21(z0)) -> c(TAKE(encArg(x0), U21(encArg(z0))))
   ENCODE_TAKE(x0, cons_U31(z0, z1, z2, z3)) -> c(TAKE(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3))))
   ENCODE_TAKE(x0, cons_take(z0, z1)) -> c(TAKE(encArg(x0), take(encArg(z0), encArg(z1))))
   ENCODE_TAKE(x0, cons_and(z0, z1)) -> c(TAKE(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_TAKE(x0, cons_isNat(z0)) -> c(TAKE(encArg(x0), isNat(encArg(z0))))
   ENCODE_TAKE(x0, cons_isNatList(z0)) -> c(TAKE(encArg(x0), isNatList(encArg(z0))))
   ENCODE_TAKE(x0, cons_isNatIList(z0)) -> c(TAKE(encArg(x0), isNatIList(encArg(z0))))
   ENCODE_TAKE(zeros, x1) -> c(TAKE(zeros, encArg(x1)))
   ENCODE_TAKE(0, x1) -> c(TAKE(0, encArg(x1)))
   ENCODE_TAKE(tt, x1) -> c(TAKE(tt, encArg(x1)))
   ENCODE_TAKE(nil, x1) -> c(TAKE(nil, encArg(x1)))
   ENCODE_TAKE(cons_active(z0), x1) -> c(TAKE(active(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_mark(z0), x1) -> c(TAKE(mark(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_cons(z0, z1), x1) -> c(TAKE(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_TAKE(cons_U11(z0, z1), x1) -> c(TAKE(U11(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_TAKE(cons_s(z0), x1) -> c(TAKE(s(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_length(z0), x1) -> c(TAKE(length(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_U21(z0), x1) -> c(TAKE(U21(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_U31(z0, z1, z2, z3), x1) -> c(TAKE(U31(encArg(z0), encArg(z1), encArg(z2), encArg(z3)), encArg(x1)))
   ENCODE_TAKE(cons_take(z0, z1), x1) -> c(TAKE(take(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_TAKE(cons_and(z0, z1), x1) -> c(TAKE(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_TAKE(cons_isNat(z0), x1) -> c(TAKE(isNat(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_isNatList(z0), x1) -> c(TAKE(isNatList(encArg(z0)), encArg(x1)))
   ENCODE_TAKE(cons_isNatIList(z0), x1) -> c(TAKE(isNatIList(encArg(z0)), encArg(x1)))
S tuples:
   ACTIVE(U21(tt)) -> c36(MARK(nil))
   ACTIVE(U31(tt, z0, z1, z2)) -> c37(MARK(cons(z2, take(z1, z0))), CONS(z2, take(z1, z0)), TAKE(z1, z0))
   ACTIVE(and(tt, z0)) -> c38(MARK(z0))
   ACTIVE(isNat(0)) -> c39(MARK(tt))
   ACTIVE(isNat(length(z0))) -> c40(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNat(s(z0))) -> c41(MARK(isNat(z0)), ISNAT(z0))
   ACTIVE(isNatIList(z0)) -> c42(MARK(isNatList(z0)), ISNATLIST(z0))
   ACTIVE(isNatIList(zeros)) -> c43(MARK(tt))
   ACTIVE(isNatList(nil)) -> c45(MARK(tt))
   ACTIVE(length(nil)) -> c48(MARK(0))
   MARK(zeros) -> c52(ACTIVE(zeros))
   MARK(isNat(z0)) -> c64(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatList(z0)) -> c65(ACTIVE(isNatList(z0)), ISNATLIST(z0))
   MARK(isNatIList(z0)) -> c66(ACTIVE(isNatIList(z0)), ISNATILIST(z0))
   CONS(mark(z0), z1) -> c67(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c68(CONS(z0, z1))
   CONS(active(z0), z1) -> c69(CONS(z0, z1))
   CONS(z0, active(z1)) -> c70(CONS(z0, z1))
   U11'(mark(z0), z1) -> c71(U11'(z0, z1))
   U11'(z0, mark(z1)) -> c72(U11'(z0, z1))
   U11'(active(z0), z1) -> c73(U11'(z0, z1))
   U11'(z0, active(z1)) -> c74(U11'(z0, z1))
   S(mark(z0)) -> c75(S(z0))
   S(active(z0)) -> c76(S(z0))
   LENGTH(mark(z0)) -> c77(LENGTH(z0))
   LENGTH(active(z0)) -> c78(LENGTH(z0))
   U21'(mark(z0)) -> c79(U21'(z0))
   U21'(active(z0)) -> c80(U21'(z0))
   U31'(mark(z0), z1, z2, z3) -> c81(U31'(z0, z1, z2, z3))
   U31'(z0, mark(z1), z2, z3) -> c82(U31'(z0, z1, z2, z3))
   U31'(z0, z1, mark(z2), z3) -> c83(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, mark(z3)) -> c84(U31'(z0, z1, z2, z3))
   U31'(active(z0), z1, z2, z3) -> c85(U31'(z0, z1, z2, z3))
   U31'(z0, active(z1), z2, z3) -> c86(U31'(z0, z1, z2, z3))
   U31'(z0, z1, active(z2), z3) -> c87(U31'(z0, z1, z2, z3))
   U31'(z0, z1, z2, active(z3)) -> c88(U31'(z0, z1, z2, z3))
   TAKE(mark(z0), z1) -> c89(TAKE(z0, z1))
   TAKE(z0, mark(z1)) -> c90(TAKE(z0, z1))
   TAKE(active(z0), z1) -> c91(TAKE(z0, z1))
   TAKE(z0, active(z1)) -> c92(TAKE(z0, z1))
   AND(mark(z0), z1) -> c93(AND(z0, z1))
   AND(z0, mark(z1)) -> c94(AND(z0, z1))
   AND(active(z0), z1) -> c95(AND(z0, z1))
   AND(z0, active(z1)) -> c96(AND(z0, z1))
   ISNAT(mark(z0)) -> c97(ISNAT(z0))
   ISNAT(active(z0)) -> c98(ISNAT(z0))
   ISNATLIST(mark(z0)) -> c99(ISNATLIST(z0))
   ISNATLIST(active(z0)) -> c100(ISNATLIST(z0))
   ISNATILIST(mark(z0)) -> c101(ISNATILIST(z0))
   ISNATILIST(active(z0)) -> c102(ISNATILIST(z0))
   ACTIVE(zeros) -> c34(MARK(cons(0, zeros)))
   ACTIVE(U11(tt, z0)) -> c35(MARK(s(length(z0))), LENGTH(z0))
   ACTIVE(isNatIList(cons(z0, z1))) -> c44(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(isNatList(cons(z0, z1))) -> c46(MARK(and(isNat(z0), isNatList(z1))), ISNAT(z0), ISNATLIST(z1))
   ACTIVE(isNatList(take(z0, z1))) -> c47(MARK(and(isNat(z0), isNatIList(z1))), ISNAT(z0), ISNATILIST(z1))
   ACTIVE(length(cons(z0, z1))) -> c49(MARK(U11(and(isNatList(z1), isNat(z0)), z1)), ISNATLIST(z1), ISNAT(z0))
   ACTIVE(take(0, z0)) -> c50(MARK(U21(isNatIList(z0))), ISNATILIST(z0))
   ACTIVE(take(s(z0), cons(z1, z2))) -> c51(MARK(U31(and(isNatIList(z2), and(isNat(z0), isNat(z1))), z2, z0, z1)), ISNATILIST(z2), ISNAT(z0), ISNAT(z1))
   MARK(0) -> c54
   MARK(tt) -> c56
   MARK(nil) -> c60
   MARK(cons(zeros, x1)) -> c53(ACTIVE(cons(active(zeros), x1)), CONS(mark(zeros), x1), MARK(zeros))
   MARK(cons(cons(z0, z1), x1)) -> c53(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c53(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(U11(z0, z1), x1)) -> c53(ACTIVE(cons(active(U11(mark(z0), z1)), x1)), CONS(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(cons(tt, x1)) -> c53(ACTIVE(cons(active(tt), x1)), CONS(mark(tt), x1), MARK(tt))
   MARK(cons(s(z0), x1)) -> c53(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(length(z0), x1)) -> c53(ACTIVE(cons(active(length(mark(z0))), x1)), CONS(mark(length(z0)), x1), MARK(length(z0)))
   MARK(cons(U21(z0), x1)) -> c53(ACTIVE(cons(active(U21(mark(z0))), x1)), CONS(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(cons(nil, x1)) -> c53(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil))
   MARK(cons(U31(z0, z1, z2, z3), x1)) -> c53(ACTIVE(cons(active(U31(mark(z0), z1, z2, z3)), x1)), CONS(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(cons(take(z0, z1), x1)) -> c53(ACTIVE(cons(active(take(mark(z0), mark(z1))), x1)), CONS(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(cons(and(z0, z1), x1)) -> c53(ACTIVE(cons(active(and(mark(z0), z1)), x1)), CONS(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(cons(isNat(z0), x1)) -> c53(ACTIVE(cons(active(isNat(z0)), x1)), CONS(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(cons(isNatList(z0), x1)) -> c53(ACTIVE(cons(active(isNatList(z0)), x1)), CONS(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(cons(isNatIList(z0), x1)) -> c53(ACTIVE(cons(active(isNatIList(z0)), x1)), CONS(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(cons(x0, x1)) -> c53(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c53(CONS(mark(z0), z1), MARK(z0))
   MARK(U11(z0, z1)) -> c55(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0))
   MARK(U11(zeros, x1)) -> c55(ACTIVE(U11(active(zeros), x1)), U11'(mark(zeros), x1), MARK(zeros))
   MARK(U11(cons(z0, z1), x1)) -> c55(ACTIVE(U11(active(cons(mark(z0), z1)), x1)), U11'(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(U11(0, x1)) -> c55(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0))
   MARK(U11(U11(z0, z1), x1)) -> c55(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(U11(tt, x1)) -> c55(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt))
   MARK(U11(s(z0), x1)) -> c55(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U11(length(z0), x1)) -> c55(ACTIVE(U11(active(length(mark(z0))), x1)), U11'(mark(length(z0)), x1), MARK(length(z0)))
   MARK(U11(U21(z0), x1)) -> c55(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(U11(nil, x1)) -> c55(ACTIVE(U11(active(nil), x1)), U11'(mark(nil), x1), MARK(nil))
   MARK(U11(U31(z0, z1, z2, z3), x1)) -> c55(ACTIVE(U11(active(U31(mark(z0), z1, z2, z3)), x1)), U11'(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(U11(take(z0, z1), x1)) -> c55(ACTIVE(U11(active(take(mark(z0), mark(z1))), x1)), U11'(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(U11(and(z0, z1), x1)) -> c55(ACTIVE(U11(active(and(mark(z0), z1)), x1)), U11'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U11(isNat(z0), x1)) -> c55(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U11(isNatList(z0), x1)) -> c55(ACTIVE(U11(active(isNatList(z0)), x1)), U11'(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(U11(isNatIList(z0), x1)) -> c55(ACTIVE(U11(active(isNatIList(z0)), x1)), U11'(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(U11(x0, x1)) -> c55(U11'(mark(x0), x1))
   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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(U11(z0, z1))) -> c57(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   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(U21(z0))) -> c57(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0)))
   MARK(s(nil)) -> c57(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil))
   MARK(s(U31(z0, z1, z2, z3))) -> c57(ACTIVE(s(active(U31(mark(z0), z1, z2, z3)))), S(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c57(ACTIVE(s(active(and(mark(z0), z1)))), S(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(isNatList(z0))) -> c57(ACTIVE(s(active(isNatList(z0)))), S(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(s(isNatIList(z0))) -> c57(ACTIVE(s(active(isNatIList(z0)))), S(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c58(ACTIVE(length(z0)), LENGTH(mark(z0)), MARK(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(0)) -> c58(ACTIVE(length(active(0))), LENGTH(mark(0)), MARK(0))
   MARK(length(U11(z0, z1))) -> c58(ACTIVE(length(active(U11(mark(z0), z1)))), LENGTH(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(length(tt)) -> c58(ACTIVE(length(active(tt))), LENGTH(mark(tt)), MARK(tt))
   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(U21(z0))) -> c58(ACTIVE(length(active(U21(mark(z0))))), LENGTH(mark(U21(z0))), MARK(U21(z0)))
   MARK(length(nil)) -> c58(ACTIVE(length(active(nil))), LENGTH(mark(nil)), MARK(nil))
   MARK(length(U31(z0, z1, z2, z3))) -> c58(ACTIVE(length(active(U31(mark(z0), z1, z2, z3)))), LENGTH(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   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(and(z0, z1))) -> c58(ACTIVE(length(active(and(mark(z0), z1)))), LENGTH(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(length(isNat(z0))) -> c58(ACTIVE(length(active(isNat(z0)))), LENGTH(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(length(isNatList(z0))) -> c58(ACTIVE(length(active(isNatList(z0)))), LENGTH(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(length(isNatIList(z0))) -> c58(ACTIVE(length(active(isNatIList(z0)))), LENGTH(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U21(z0)) -> c59(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0))
   MARK(U21(zeros)) -> c59(ACTIVE(U21(active(zeros))), U21'(mark(zeros)), MARK(zeros))
   MARK(U21(cons(z0, z1))) -> c59(ACTIVE(U21(active(cons(mark(z0), z1)))), U21'(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(U21(0)) -> c59(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0))
   MARK(U21(U11(z0, z1))) -> c59(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1)))
   MARK(U21(tt)) -> c59(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt))
   MARK(U21(s(z0))) -> c59(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0)))
   MARK(U21(length(z0))) -> c59(ACTIVE(U21(active(length(mark(z0))))), U21'(mark(length(z0))), MARK(length(z0)))
   MARK(U21(U21(z0))) -> c59(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0)))
   MARK(U21(nil)) -> c59(ACTIVE(U21(active(nil))), U21'(mark(nil)), MARK(nil))
   MARK(U21(U31(z0, z1, z2, z3))) -> c59(ACTIVE(U21(active(U31(mark(z0), z1, z2, z3)))), U21'(mark(U31(z0, z1, z2, z3))), MARK(U31(z0, z1, z2, z3)))
   MARK(U21(take(z0, z1))) -> c59(ACTIVE(U21(active(take(mark(z0), mark(z1))))), U21'(mark(take(z0, z1))), MARK(take(z0, z1)))
   MARK(U21(and(z0, z1))) -> c59(ACTIVE(U21(active(and(mark(z0), z1)))), U21'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U21(isNat(z0))) -> c59(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U21(isNatList(z0))) -> c59(ACTIVE(U21(active(isNatList(z0)))), U21'(mark(isNatList(z0))), MARK(isNatList(z0)))
   MARK(U21(isNatIList(z0))) -> c59(ACTIVE(U21(active(isNatIList(z0)))), U21'(mark(isNatIList(z0))), MARK(isNatIList(z0)))
   MARK(U31(z0, z1, z2, z3)) -> c61(ACTIVE(U31(z0, z1, z2, z3)), U31'(mark(z0), z1, z2, z3), MARK(z0))
   MARK(U31(zeros, x1, x2, x3)) -> c61(ACTIVE(U31(active(zeros), x1, x2, x3)), U31'(mark(zeros), x1, x2, x3), MARK(zeros))
   MARK(U31(cons(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(cons(mark(z0), z1)), x1, x2, x3)), U31'(mark(cons(z0, z1)), x1, x2, x3), MARK(cons(z0, z1)))
   MARK(U31(0, x1, x2, x3)) -> c61(ACTIVE(U31(active(0), x1, x2, x3)), U31'(mark(0), x1, x2, x3), MARK(0))
   MARK(U31(U11(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(U11(mark(z0), z1)), x1, x2, x3)), U31'(mark(U11(z0, z1)), x1, x2, x3), MARK(U11(z0, z1)))
   MARK(U31(tt, x1, x2, x3)) -> c61(ACTIVE(U31(active(tt), x1, x2, x3)), U31'(mark(tt), x1, x2, x3), MARK(tt))
   MARK(U31(s(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(s(mark(z0))), x1, x2, x3)), U31'(mark(s(z0)), x1, x2, x3), MARK(s(z0)))
   MARK(U31(length(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(length(mark(z0))), x1, x2, x3)), U31'(mark(length(z0)), x1, x2, x3), MARK(length(z0)))
   MARK(U31(U21(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(U21(mark(z0))), x1, x2, x3)), U31'(mark(U21(z0)), x1, x2, x3), MARK(U21(z0)))
   MARK(U31(nil, x1, x2, x3)) -> c61(ACTIVE(U31(active(nil), x1, x2, x3)), U31'(mark(nil), x1, x2, x3), MARK(nil))
   MARK(U31(U31(z0, z1, z2, z3), x1, x2, x3)) -> c61(ACTIVE(U31(active(U31(mark(z0), z1, z2, z3)), x1, x2, x3)), U31'(mark(U31(z0, z1, z2, z3)), x1, x2, x3), MARK(U31(z0, z1, z2, z3)))
   MARK(U31(take(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(take(mark(z0), mark(z1))), x1, x2, x3)), U31'(mark(take(z0, z1)), x1, x2, x3), MARK(take(z0, z1)))
   MARK(U31(and(z0, z1), x1, x2, x3)) -> c61(ACTIVE(U31(active(and(mark(z0), z1)), x1, x2, x3)), U31'(mark(and(z0, z1)), x1, x2, x3), MARK(and(z0, z1)))
   MARK(U31(isNat(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNat(z0)), x1, x2, x3)), U31'(mark(isNat(z0)), x1, x2, x3), MARK(isNat(z0)))
   MARK(U31(isNatList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatList(z0)), x1, x2, x3)), U31'(mark(isNatList(z0)), x1, x2, x3), MARK(isNatList(z0)))
   MARK(U31(isNatIList(z0), x1, x2, x3)) -> c61(ACTIVE(U31(active(isNatIList(z0)), x1, x2, x3)), U31'(mark(isNatIList(z0)), x1, x2, x3), MARK(isNatIList(z0)))
   MARK(U31(x0, x1, x2, x3)) -> c61(U31'(mark(x0), x1, x2, x3))
   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, 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, 0)) -> c62(ACTIVE(take(mark(x0), active(0))), TAKE(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(take(x0, U11(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(U11(mark(z0), z1)))), TAKE(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(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, 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, U21(z0))) -> c62(ACTIVE(take(mark(x0), active(U21(mark(z0))))), TAKE(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0)))
   MARK(take(x0, nil)) -> c62(ACTIVE(take(mark(x0), active(nil))), TAKE(mark(x0), mark(nil)), MARK(x0), MARK(nil))
   MARK(take(x0, U31(z0, z1, z2, z3))) -> c62(ACTIVE(take(mark(x0), active(U31(mark(z0), z1, z2, z3)))), TAKE(mark(x0), mark(U31(z0, z1, z2, z3))), MARK(x0), MARK(U31(z0, z1, z2, z3)))
   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, and(z0, z1))) -> c62(ACTIVE(take(mark(x0), active(and(mark(z0), z1)))), TAKE(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   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, isNatList(z0))) -> c62(ACTIVE(take(mark(x0), active(isNatList(z0)))), TAKE(mark(x0), mark(isNatList(z0))), MARK(x0), MARK(isNatList(z0)))
   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(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(0, x1)) -> c62(ACTIVE(take(active(0), mark(x1))), TAKE(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(take(U11(z0, z1), x1)) -> c62(ACTIVE(take(active(U11(mark(z0), z1)), mark(x1))), TAKE(mark(U11(z0, z1)), mark(x1)), MARK(U11(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(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(U21(z0), x1)) -> c62(ACTIVE(take(active(U21(mark(z0))), mark(x1))), TAKE(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1))
   MARK(take(nil, x1)) -> c62(ACTIVE(take(active(nil), mark(x1))), TAKE(mark(nil), mark(x1)), MARK(nil), MARK(x1))
   MARK(take(U31(z0, z1, z2, z3), x1)) -> c62(ACTIVE(take(active(U31(mark(z0), z1, z2, z3)), mark(x1))), TAKE(mark(U31(z0, z1, z2, z3)), mark(x1)), MARK(U31(z0, z1, z2, z3)), 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(and(z0, z1), x1)) -> c62(ACTIVE(take(active(and(mark(z0), z1)), mark(x1))), TAKE(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), 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(isNatList(z0), x1)) -> c62(ACTIVE(take(active(isNatList(z0)), mark(x1))), TAKE(mark(isNatList(z0)), mark(x1)), MARK(isNatList(z0)), 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(and(z0, z1)) -> c63(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(zeros, x1)) -> c63(ACTIVE(and(active(zeros), x1)), AND(mark(zeros), x1), MARK(zeros))
   MARK(and(cons(z0, z1), x1)) -> c63(ACTIVE(and(active(cons(mark(z0), z1)), x1)), AND(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(and(0, x1)) -> c63(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(U11(z0, z1), x1)) -> c63(ACTIVE(and(active(U11(mark(z0), z1)), x1)), AND(mark(U11(z0, z1)), x1), MARK(U11(z0, z1)))
   MARK(and(tt, x1)) -> c63(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(s(z0), x1)) -> c63(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(length(z0), x1)) -> c63(ACTIVE(and(active(length(mark(z0))), x1)), AND(mark(length(z0)), x1), MARK(length(z0)))
   MARK(and(U21(z0), x1)) -> c63(ACTIVE(and(active(U21(mark(z0))), x1)), AND(mark(U21(z0)), x1), MARK(U21(z0)))
   MARK(and(nil, x1)) -> c63(ACTIVE(and(active(nil), x1)), AND(mark(nil), x1), MARK(nil))
   MARK(and(U31(z0, z1, z2, z3), x1)) -> c63(ACTIVE(and(active(U31(mark(z0), z1, z2, z3)), x1)), AND(mark(U31(z0, z1, z2, z3)), x1), MARK(U31(z0, z1, z2, z3)))
   MARK(and(take(z0, z1), x1)) -> c63(ACTIVE(and(active(take(mark(z0), mark(z1))), x1)), AND(mark(take(z0, z1)), x1), MARK(take(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c63(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c63(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(isNatList(z0), x1)) -> c63(ACTIVE(and(active(isNatList(z0)), x1)), AND(mark(isNatList(z0)), x1), MARK(isNatList(z0)))
   MARK(and(isNatIList(z0), x1)) -> c63(ACTIVE(and(active(isNatIList(z0)), x1)), AND(mark(isNatIList(z0)), x1), MARK(isNatIList(z0)))
   MARK(and(x0, x1)) -> c63(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, cons_2, U11_2, s_1, length_1, U21_1, U31_4, take_2, and_2, isNat_1, isNatList_1, isNatIList_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, CONS_2, U11'_2, S_1, LENGTH_1, U21'_1, U31'_4, TAKE_2, AND_2, ISNAT_1, ISNATLIST_1, ISNATILIST_1, ENCODE_AND_2, ENCODE_ISNAT_1, ENCODE_ISNATLIST_1, ENCODE_ISNATILIST_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_U11_2, ENCODE_S_1, ENCODE_LENGTH_1, ENCODE_U21_1, ENCODE_U31_4, ENCODE_TAKE_2

Compound Symbols:   c36_1, c37_3, c38_1, c39_1, c40_2, c41_2, c42_2, c43_1, c45_1, c48_1, c52_1, c64_2, c65_2, c66_2, 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, c102_1, c34_1, c35_2, c44_3, c46_3, c47_3, c49_3, c50_2, c51_4, c54, c56, c60, c_1, c4_2, c4_1, c5_2, c5_1, c6_3, c6_2, c7_3, c7_2, c8_2, c9_2, c10_2, c11_5, c11_4, c12_3, c12_2, c13_3, c13_2, c14_2, c15_2, c16_2, c53_3, c53_1, c53_2, c55_3, c55_1, c57_3, c57_2, c58_3, c59_3, c61_3, c61_1, c62_4, c63_3, c63_1